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Finding the Fourth Proportional to 656.38, 988.48 and 592.12

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Solution

The fourth proportional to 656.38, 988.48 and 592.12 is: 891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.38 : 988.48 = 592.12 : x
  2. Step 2: Convert to fraction form
    656.38/988.48 = 592.12/x
  3. Step 3: Cross multiply
    656.38x = 988.48 × 592.12
  4. Step 4: Simplify right side
    656.38x = 585,298.78
  5. Step 5: Solve for x
    x = 585,298.78/656.38
  6. Step 6: Final answer
    x = 891.71

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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.