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Finding the Fourth Proportional to 517.14, 772.02 and 500.04

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Solution

The fourth proportional to 517.14, 772.02 and 500.04 is: 746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 772.02 = 500.04 : x
  2. Step 2: Convert to fraction form
    517.14/772.02 = 500.04/x
  3. Step 3: Cross multiply
    517.14x = 772.02 × 500.04
  4. Step 4: Simplify right side
    517.14x = 386,040.88
  5. Step 5: Solve for x
    x = 386,040.88/517.14
  6. Step 6: Final answer
    x = 746.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.