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Finding the Fourth Proportional to 715.23, 1,071.81 and 349.61

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Solution

The fourth proportional to 715.23, 1,071.81 and 349.61 is: 523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.23 : 1,071.81 = 349.61 : x
  2. Step 2: Convert to fraction form
    715.23/1,071.81 = 349.61/x
  3. Step 3: Cross multiply
    715.23x = 1,071.81 × 349.61
  4. Step 4: Simplify right side
    715.23x = 374,710.14
  5. Step 5: Solve for x
    x = 374,710.14/715.23
  6. Step 6: Final answer
    x = 523.90

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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.