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Finding the Fourth Proportional to 713.39, 1,070.85 and 462.48

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Solution

The fourth proportional to 713.39, 1,070.85 and 462.48 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.39 : 1,070.85 = 462.48 : x
  2. Step 2: Convert to fraction form
    713.39/1,070.85 = 462.48/x
  3. Step 3: Cross multiply
    713.39x = 1,070.85 × 462.48
  4. Step 4: Simplify right side
    713.39x = 495,240.52
  5. Step 5: Solve for x
    x = 495,240.52/713.39
  6. Step 6: Final answer
    x = 694.21

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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.