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Finding the Fourth Proportional to 657.77, 984.58 and 588.20

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Solution

The fourth proportional to 657.77, 984.58 and 588.20 is: 880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 984.58 = 588.20 : x
  2. Step 2: Convert to fraction form
    657.77/984.58 = 588.20/x
  3. Step 3: Cross multiply
    657.77x = 984.58 × 588.20
  4. Step 4: Simplify right side
    657.77x = 579,123.56
  5. Step 5: Solve for x
    x = 579,123.56/657.77
  6. Step 6: Final answer
    x = 880.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.