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Finding the Fourth Proportional to 562, 775.02 and 517.86

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Solution

The fourth proportional to 562, 775.02 and 517.86 is: 714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 775.02 = 517.86 : x
  2. Step 2: Convert to fraction form
    562/775.02 = 517.86/x
  3. Step 3: Cross multiply
    562x = 775.02 × 517.86
  4. Step 4: Simplify right side
    562x = 401,351.86
  5. Step 5: Solve for x
    x = 401,351.86/562
  6. Step 6: Final answer
    x = 714.15

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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.