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Finding the Fourth Proportional to 686.52, 943.56 and 587.52

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Solution

The fourth proportional to 686.52, 943.56 and 587.52 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 943.56 = 587.52 : x
  2. Step 2: Convert to fraction form
    686.52/943.56 = 587.52/x
  3. Step 3: Cross multiply
    686.52x = 943.56 × 587.52
  4. Step 4: Simplify right side
    686.52x = 554,360.37
  5. Step 5: Solve for x
    x = 554,360.37/686.52
  6. Step 6: Final answer
    x = 807.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.