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Finding the Fourth Proportional to 610.52, 915.76 and 154.52

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Solution

The fourth proportional to 610.52, 915.76 and 154.52 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.52 : 915.76 = 154.52 : x
  2. Step 2: Convert to fraction form
    610.52/915.76 = 154.52/x
  3. Step 3: Cross multiply
    610.52x = 915.76 × 154.52
  4. Step 4: Simplify right side
    610.52x = 141,503.24
  5. Step 5: Solve for x
    x = 141,503.24/610.52
  6. Step 6: Final answer
    x = 231.77

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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.