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Finding the Fourth Proportional to 611.71, 915.98 and 380.25

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Solution

The fourth proportional to 611.71, 915.98 and 380.25 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.71 : 915.98 = 380.25 : x
  2. Step 2: Convert to fraction form
    611.71/915.98 = 380.25/x
  3. Step 3: Cross multiply
    611.71x = 915.98 × 380.25
  4. Step 4: Simplify right side
    611.71x = 348,299.49
  5. Step 5: Solve for x
    x = 348,299.49/611.71
  6. Step 6: Final answer
    x = 569.39

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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.