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Finding the Fourth Proportional to 610.53, 915.72 and 177.72

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Solution

The fourth proportional to 610.53, 915.72 and 177.72 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 915.72 = 177.72 : x
  2. Step 2: Convert to fraction form
    610.53/915.72 = 177.72/x
  3. Step 3: Cross multiply
    610.53x = 915.72 × 177.72
  4. Step 4: Simplify right side
    610.53x = 162,741.76
  5. Step 5: Solve for x
    x = 162,741.76/610.53
  6. Step 6: Final answer
    x = 266.56

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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.