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Finding the Fourth Proportional to 599.52, 827.04 and 557.76

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Solution

The fourth proportional to 599.52, 827.04 and 557.76 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 827.04 = 557.76 : x
  2. Step 2: Convert to fraction form
    599.52/827.04 = 557.76/x
  3. Step 3: Cross multiply
    599.52x = 827.04 × 557.76
  4. Step 4: Simplify right side
    599.52x = 461,289.83
  5. Step 5: Solve for x
    x = 461,289.83/599.52
  6. Step 6: Final answer
    x = 769.43

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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.