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Finding the Fourth Proportional to 568.25, 781.58 and 457.47

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Solution

The fourth proportional to 568.25, 781.58 and 457.47 is: 629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.25 : 781.58 = 457.47 : x
  2. Step 2: Convert to fraction form
    568.25/781.58 = 457.47/x
  3. Step 3: Cross multiply
    568.25x = 781.58 × 457.47
  4. Step 4: Simplify right side
    568.25x = 357,547.12
  5. Step 5: Solve for x
    x = 357,547.12/568.25
  6. Step 6: Final answer
    x = 629.21

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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.