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Finding the Fourth Proportional to 657.27, 980.76 and 588

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Solution

The fourth proportional to 657.27, 980.76 and 588 is: 877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.27 : 980.76 = 588 : x
  2. Step 2: Convert to fraction form
    657.27/980.76 = 588/x
  3. Step 3: Cross multiply
    657.27x = 980.76 × 588
  4. Step 4: Simplify right side
    657.27x = 576,686.88
  5. Step 5: Solve for x
    x = 576,686.88/657.27
  6. Step 6: Final answer
    x = 877.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.