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Finding the Fourth Proportional to 588.48, 876.96 and 553.80

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Solution

The fourth proportional to 588.48, 876.96 and 553.80 is: 825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 876.96 = 553.80 : x
  2. Step 2: Convert to fraction form
    588.48/876.96 = 553.80/x
  3. Step 3: Cross multiply
    588.48x = 876.96 × 553.80
  4. Step 4: Simplify right side
    588.48x = 485,660.45
  5. Step 5: Solve for x
    x = 485,660.45/588.48
  6. Step 6: Final answer
    x = 825.28

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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.