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Finding the Fourth Proportional to 609.64, 915.06 and 285.24

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Solution

The fourth proportional to 609.64, 915.06 and 285.24 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 915.06 = 285.24 : x
  2. Step 2: Convert to fraction form
    609.64/915.06 = 285.24/x
  3. Step 3: Cross multiply
    609.64x = 915.06 × 285.24
  4. Step 4: Simplify right side
    609.64x = 261,011.71
  5. Step 5: Solve for x
    x = 261,011.71/609.64
  6. Step 6: Final answer
    x = 428.14

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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.