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Finding the Fourth Proportional to 715.43, 1,072.68 and 471.22

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Solution

The fourth proportional to 715.43, 1,072.68 and 471.22 is: 706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.43 : 1,072.68 = 471.22 : x
  2. Step 2: Convert to fraction form
    715.43/1,072.68 = 471.22/x
  3. Step 3: Cross multiply
    715.43x = 1,072.68 × 471.22
  4. Step 4: Simplify right side
    715.43x = 505,468.27
  5. Step 5: Solve for x
    x = 505,468.27/715.43
  6. Step 6: Final answer
    x = 706.52

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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.