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Finding the Fourth Proportional to 713.70, 1,071.17 and 406.17

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Solution

The fourth proportional to 713.70, 1,071.17 and 406.17 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.70 : 1,071.17 = 406.17 : x
  2. Step 2: Convert to fraction form
    713.70/1,071.17 = 406.17/x
  3. Step 3: Cross multiply
    713.70x = 1,071.17 × 406.17
  4. Step 4: Simplify right side
    713.70x = 435,077.12
  5. Step 5: Solve for x
    x = 435,077.12/713.70
  6. Step 6: Final answer
    x = 609.61

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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.