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Finding the Fourth Proportional to 658.28, 991.81 and 595.82

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Solution

The fourth proportional to 658.28, 991.81 and 595.82 is: 897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.28 : 991.81 = 595.82 : x
  2. Step 2: Convert to fraction form
    658.28/991.81 = 595.82/x
  3. Step 3: Cross multiply
    658.28x = 991.81 × 595.82
  4. Step 4: Simplify right side
    658.28x = 590,937.26
  5. Step 5: Solve for x
    x = 590,937.26/658.28
  6. Step 6: Final answer
    x = 897.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.