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Finding the Fourth Proportional to 686.88, 949.52 and 588.47

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Solution

The fourth proportional to 686.88, 949.52 and 588.47 is: 813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 949.52 = 588.47 : x
  2. Step 2: Convert to fraction form
    686.88/949.52 = 588.47/x
  3. Step 3: Cross multiply
    686.88x = 949.52 × 588.47
  4. Step 4: Simplify right side
    686.88x = 558,760.76
  5. Step 5: Solve for x
    x = 558,760.76/686.88
  6. Step 6: Final answer
    x = 813.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.