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Finding the Fourth Proportional to 617.74, 929.58 and 508.84

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Solution

The fourth proportional to 617.74, 929.58 and 508.84 is: 765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.74 : 929.58 = 508.84 : x
  2. Step 2: Convert to fraction form
    617.74/929.58 = 508.84/x
  3. Step 3: Cross multiply
    617.74x = 929.58 × 508.84
  4. Step 4: Simplify right side
    617.74x = 473,007.49
  5. Step 5: Solve for x
    x = 473,007.49/617.74
  6. Step 6: Final answer
    x = 765.71

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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.