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Finding the Fourth Proportional to 715.38, 1,071.45 and 634.38

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Solution

The fourth proportional to 715.38, 1,071.45 and 634.38 is: 950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.38 : 1,071.45 = 634.38 : x
  2. Step 2: Convert to fraction form
    715.38/1,071.45 = 634.38/x
  3. Step 3: Cross multiply
    715.38x = 1,071.45 × 634.38
  4. Step 4: Simplify right side
    715.38x = 679,706.45
  5. Step 5: Solve for x
    x = 679,706.45/715.38
  6. Step 6: Final answer
    x = 950.13

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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.