Home / 1,298.96-1,947.80-433.04

Finding the Fourth Proportional to 1,298.96, 1,947.80 and 433.04

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Solution

The fourth proportional to 1,298.96, 1,947.80 and 433.04 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.96 : 1,947.80 = 433.04 : x
  2. Step 2: Convert to fraction form
    1,298.96/1,947.80 = 433.04/x
  3. Step 3: Cross multiply
    1,298.96x = 1,947.80 × 433.04
  4. Step 4: Simplify right side
    1,298.96x = 843,475.31
  5. Step 5: Solve for x
    x = 843,475.31/1,298.96
  6. Step 6: Final answer
    x = 649.35

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Half scale
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Double scale
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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.