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Finding the Fourth Proportional to 609.67, 915.42 and 527.66

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Solution

The fourth proportional to 609.67, 915.42 and 527.66 is: 792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.67 : 915.42 = 527.66 : x
  2. Step 2: Convert to fraction form
    609.67/915.42 = 527.66/x
  3. Step 3: Cross multiply
    609.67x = 915.42 × 527.66
  4. Step 4: Simplify right side
    609.67x = 483,026.91
  5. Step 5: Solve for x
    x = 483,026.91/609.67
  6. Step 6: Final answer
    x = 792.28

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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.