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Finding the Fourth Proportional to 1,299.25, 1,948.94 and 433.63

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Solution

The fourth proportional to 1,299.25, 1,948.94 and 433.63 is: 650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.25 : 1,948.94 = 433.63 : x
  2. Step 2: Convert to fraction form
    1,299.25/1,948.94 = 433.63/x
  3. Step 3: Cross multiply
    1,299.25x = 1,948.94 × 433.63
  4. Step 4: Simplify right side
    1,299.25x = 845,115.06
  5. Step 5: Solve for x
    x = 845,115.06/1,299.25
  6. Step 6: Final answer
    x = 650.47

Related Problems

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Half scale
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Double scale
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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.