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Finding the Fourth Proportional to 617.85, 925.38 and 502.02

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Solution

The fourth proportional to 617.85, 925.38 and 502.02 is: 751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.85 : 925.38 = 502.02 : x
  2. Step 2: Convert to fraction form
    617.85/925.38 = 502.02/x
  3. Step 3: Cross multiply
    617.85x = 925.38 × 502.02
  4. Step 4: Simplify right side
    617.85x = 464,559.27
  5. Step 5: Solve for x
    x = 464,559.27/617.85
  6. Step 6: Final answer
    x = 751.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.