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Finding the Fourth Proportional to 715.12, 1,071.30 and 531.97

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Solution

The fourth proportional to 715.12, 1,071.30 and 531.97 is: 796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.12 : 1,071.30 = 531.97 : x
  2. Step 2: Convert to fraction form
    715.12/1,071.30 = 531.97/x
  3. Step 3: Cross multiply
    715.12x = 1,071.30 × 531.97
  4. Step 4: Simplify right side
    715.12x = 569,899.46
  5. Step 5: Solve for x
    x = 569,899.46/715.12
  6. Step 6: Final answer
    x = 796.93

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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.