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Finding the Fourth Proportional to 731.99, 1,010.19 and 417.36

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Solution

The fourth proportional to 731.99, 1,010.19 and 417.36 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.99 : 1,010.19 = 417.36 : x
  2. Step 2: Convert to fraction form
    731.99/1,010.19 = 417.36/x
  3. Step 3: Cross multiply
    731.99x = 1,010.19 × 417.36
  4. Step 4: Simplify right side
    731.99x = 421,612.90
  5. Step 5: Solve for x
    x = 421,612.90/731.99
  6. Step 6: Final answer
    x = 575.98

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.