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Finding the Fourth Proportional to 611.64, 915.14 and 337.94

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Solution

The fourth proportional to 611.64, 915.14 and 337.94 is: 505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 915.14 = 337.94 : x
  2. Step 2: Convert to fraction form
    611.64/915.14 = 337.94/x
  3. Step 3: Cross multiply
    611.64x = 915.14 × 337.94
  4. Step 4: Simplify right side
    611.64x = 309,256.15
  5. Step 5: Solve for x
    x = 309,256.15/611.64
  6. Step 6: Final answer
    x = 505.62

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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.