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Finding the Fourth Proportional to 611.49, 915.69 and 405.43

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Solution

The fourth proportional to 611.49, 915.69 and 405.43 is: 607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 915.69 = 405.43 : x
  2. Step 2: Convert to fraction form
    611.49/915.69 = 405.43/x
  3. Step 3: Cross multiply
    611.49x = 915.69 × 405.43
  4. Step 4: Simplify right side
    611.49x = 371,246.17
  5. Step 5: Solve for x
    x = 371,246.17/611.49
  6. Step 6: Final answer
    x = 607.12

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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.