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Finding the Fourth Proportional to 715.03, 1,072.04 and 454.71

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Solution

The fourth proportional to 715.03, 1,072.04 and 454.71 is: 681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.03 : 1,072.04 = 454.71 : x
  2. Step 2: Convert to fraction form
    715.03/1,072.04 = 454.71/x
  3. Step 3: Cross multiply
    715.03x = 1,072.04 × 454.71
  4. Step 4: Simplify right side
    715.03x = 487,469.05
  5. Step 5: Solve for x
    x = 487,469.05/715.03
  6. Step 6: Final answer
    x = 681.75

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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.