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Finding the Fourth Proportional to 1,298.90, 1,947.72 and 433.10

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Solution

The fourth proportional to 1,298.90, 1,947.72 and 433.10 is: 649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.90 : 1,947.72 = 433.10 : x
  2. Step 2: Convert to fraction form
    1,298.90/1,947.72 = 433.10/x
  3. Step 3: Cross multiply
    1,298.90x = 1,947.72 × 433.10
  4. Step 4: Simplify right side
    1,298.90x = 843,557.53
  5. Step 5: Solve for x
    x = 843,557.53/1,298.90
  6. Step 6: Final answer
    x = 649.44

Related Problems

Find fourth proportional to 649.45, 973.86 and 216.55
Half scale
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Double scale
Find fourth proportional to 1,299.90, 1,949.22 and 434.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.