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Finding the Fourth Proportional to 713.97, 1,071.10 and 405.97

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Solution

The fourth proportional to 713.97, 1,071.10 and 405.97 is: 609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.97 : 1,071.10 = 405.97 : x
  2. Step 2: Convert to fraction form
    713.97/1,071.10 = 405.97/x
  3. Step 3: Cross multiply
    713.97x = 1,071.10 × 405.97
  4. Step 4: Simplify right side
    713.97x = 434,834.47
  5. Step 5: Solve for x
    x = 434,834.47/713.97
  6. Step 6: Final answer
    x = 609.04

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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.