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Finding the Fourth Proportional to 724.80, 999.09 and 592.57

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Solution

The fourth proportional to 724.80, 999.09 and 592.57 is: 816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 999.09 = 592.57 : x
  2. Step 2: Convert to fraction form
    724.80/999.09 = 592.57/x
  3. Step 3: Cross multiply
    724.80x = 999.09 × 592.57
  4. Step 4: Simplify right side
    724.80x = 592,030.76
  5. Step 5: Solve for x
    x = 592,030.76/724.80
  6. Step 6: Final answer
    x = 816.82

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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.