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Finding the Fourth Proportional to 742.69, 1,024.87 and 428

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Solution

The fourth proportional to 742.69, 1,024.87 and 428 is: 590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.69 : 1,024.87 = 428 : x
  2. Step 2: Convert to fraction form
    742.69/1,024.87 = 428/x
  3. Step 3: Cross multiply
    742.69x = 1,024.87 × 428
  4. Step 4: Simplify right side
    742.69x = 438,642.22
  5. Step 5: Solve for x
    x = 438,642.22/742.69
  6. Step 6: Final answer
    x = 590.62

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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.