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Finding the Fourth Proportional to 699.48, 963.56 and 588.92

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Solution

The fourth proportional to 699.48, 963.56 and 588.92 is: 811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.48 : 963.56 = 588.92 : x
  2. Step 2: Convert to fraction form
    699.48/963.56 = 588.92/x
  3. Step 3: Cross multiply
    699.48x = 963.56 × 588.92
  4. Step 4: Simplify right side
    699.48x = 567,456.41
  5. Step 5: Solve for x
    x = 567,456.41/699.48
  6. Step 6: Final answer
    x = 811.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.