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Finding the Fourth Proportional to 715.73, 1,072.47 and 454.91

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Solution

The fourth proportional to 715.73, 1,072.47 and 454.91 is: 681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.73 : 1,072.47 = 454.91 : x
  2. Step 2: Convert to fraction form
    715.73/1,072.47 = 454.91/x
  3. Step 3: Cross multiply
    715.73x = 1,072.47 × 454.91
  4. Step 4: Simplify right side
    715.73x = 487,877.33
  5. Step 5: Solve for x
    x = 487,877.33/715.73
  6. Step 6: Final answer
    x = 681.65

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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.