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Finding the Fourth Proportional to 562.68, 773.57 and 559.17

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Solution

The fourth proportional to 562.68, 773.57 and 559.17 is: 768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 773.57 = 559.17 : x
  2. Step 2: Convert to fraction form
    562.68/773.57 = 559.17/x
  3. Step 3: Cross multiply
    562.68x = 773.57 × 559.17
  4. Step 4: Simplify right side
    562.68x = 432,558.53
  5. Step 5: Solve for x
    x = 432,558.53/562.68
  6. Step 6: Final answer
    x = 768.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.