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Finding the Fourth Proportional to 564.10, 774.24 and 500.52

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Solution

The fourth proportional to 564.10, 774.24 and 500.52 is: 686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.10 : 774.24 = 500.52 : x
  2. Step 2: Convert to fraction form
    564.10/774.24 = 500.52/x
  3. Step 3: Cross multiply
    564.10x = 774.24 × 500.52
  4. Step 4: Simplify right side
    564.10x = 387,522.60
  5. Step 5: Solve for x
    x = 387,522.60/564.10
  6. Step 6: Final answer
    x = 686.98

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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.