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Finding the Fourth Proportional to 610.56, 915.68 and 285.76

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Solution

The fourth proportional to 610.56, 915.68 and 285.76 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 915.68 = 285.76 : x
  2. Step 2: Convert to fraction form
    610.56/915.68 = 285.76/x
  3. Step 3: Cross multiply
    610.56x = 915.68 × 285.76
  4. Step 4: Simplify right side
    610.56x = 261,664.72
  5. Step 5: Solve for x
    x = 261,664.72/610.56
  6. Step 6: Final answer
    x = 428.57

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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.