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Finding the Fourth Proportional to 715.73, 1,072.19 and 638.33

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Solution

The fourth proportional to 715.73, 1,072.19 and 638.33 is: 956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.73 : 1,072.19 = 638.33 : x
  2. Step 2: Convert to fraction form
    715.73/1,072.19 = 638.33/x
  3. Step 3: Cross multiply
    715.73x = 1,072.19 × 638.33
  4. Step 4: Simplify right side
    715.73x = 684,402.49
  5. Step 5: Solve for x
    x = 684,402.49/715.73
  6. Step 6: Final answer
    x = 956.24

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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.