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Finding the Fourth Proportional to 599.10, 825.49 and 532.88

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Solution

The fourth proportional to 599.10, 825.49 and 532.88 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.10 : 825.49 = 532.88 : x
  2. Step 2: Convert to fraction form
    599.10/825.49 = 532.88/x
  3. Step 3: Cross multiply
    599.10x = 825.49 × 532.88
  4. Step 4: Simplify right side
    599.10x = 439,886.75
  5. Step 5: Solve for x
    x = 439,886.75/599.10
  6. Step 6: Final answer
    x = 734.25

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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.