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Finding the Fourth Proportional to 592.80, 821.88 and 558.24

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Solution

The fourth proportional to 592.80, 821.88 and 558.24 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.80 : 821.88 = 558.24 : x
  2. Step 2: Convert to fraction form
    592.80/821.88 = 558.24/x
  3. Step 3: Cross multiply
    592.80x = 821.88 × 558.24
  4. Step 4: Simplify right side
    592.80x = 458,806.29
  5. Step 5: Solve for x
    x = 458,806.29/592.80
  6. Step 6: Final answer
    x = 773.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.