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Finding the Fourth Proportional to 617.73, 929.56 and 508.83

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Solution

The fourth proportional to 617.73, 929.56 and 508.83 is: 765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.73 : 929.56 = 508.83 : x
  2. Step 2: Convert to fraction form
    617.73/929.56 = 508.83/x
  3. Step 3: Cross multiply
    617.73x = 929.56 × 508.83
  4. Step 4: Simplify right side
    617.73x = 472,988.01
  5. Step 5: Solve for x
    x = 472,988.01/617.73
  6. Step 6: Final answer
    x = 765.69

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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.