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Finding the Fourth Proportional to 742.77, 1,025.10 and 428.13

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Solution

The fourth proportional to 742.77, 1,025.10 and 428.13 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,025.10 = 428.13 : x
  2. Step 2: Convert to fraction form
    742.77/1,025.10 = 428.13/x
  3. Step 3: Cross multiply
    742.77x = 1,025.10 × 428.13
  4. Step 4: Simplify right side
    742.77x = 438,876.06
  5. Step 5: Solve for x
    x = 438,876.06/742.77
  6. Step 6: Final answer
    x = 590.86

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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.