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Finding the Fourth Proportional to 657.92, 903.87 and 588.88

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Solution

The fourth proportional to 657.92, 903.87 and 588.88 is: 809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 903.87 = 588.88 : x
  2. Step 2: Convert to fraction form
    657.92/903.87 = 588.88/x
  3. Step 3: Cross multiply
    657.92x = 903.87 × 588.88
  4. Step 4: Simplify right side
    657.92x = 532,268.02
  5. Step 5: Solve for x
    x = 532,268.02/657.92
  6. Step 6: Final answer
    x = 809.02

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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.