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Finding the Fourth Proportional to 610.16, 915.54 and 285.47

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Solution

The fourth proportional to 610.16, 915.54 and 285.47 is: 428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 915.54 = 285.47 : x
  2. Step 2: Convert to fraction form
    610.16/915.54 = 285.47/x
  3. Step 3: Cross multiply
    610.16x = 915.54 × 285.47
  4. Step 4: Simplify right side
    610.16x = 261,359.20
  5. Step 5: Solve for x
    x = 261,359.20/610.16
  6. Step 6: Final answer
    x = 428.35

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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.