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Finding the Fourth Proportional to 599.60, 824.85 and 488.84

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Solution

The fourth proportional to 599.60, 824.85 and 488.84 is: 672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.60 : 824.85 = 488.84 : x
  2. Step 2: Convert to fraction form
    599.60/824.85 = 488.84/x
  3. Step 3: Cross multiply
    599.60x = 824.85 × 488.84
  4. Step 4: Simplify right side
    599.60x = 403,215.55
  5. Step 5: Solve for x
    x = 403,215.55/599.60
  6. Step 6: Final answer
    x = 672.47

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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.