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Finding the Fourth Proportional to 616.87, 925.35 and 470.86

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Solution

The fourth proportional to 616.87, 925.35 and 470.86 is: 706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 925.35 = 470.86 : x
  2. Step 2: Convert to fraction form
    616.87/925.35 = 470.86/x
  3. Step 3: Cross multiply
    616.87x = 925.35 × 470.86
  4. Step 4: Simplify right side
    616.87x = 435,710.30
  5. Step 5: Solve for x
    x = 435,710.30/616.87
  6. Step 6: Final answer
    x = 706.32

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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.