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Finding the Fourth Proportional to 559.38, 838.61 and 498.64

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Solution

The fourth proportional to 559.38, 838.61 and 498.64 is: 747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.38 : 838.61 = 498.64 : x
  2. Step 2: Convert to fraction form
    559.38/838.61 = 498.64/x
  3. Step 3: Cross multiply
    559.38x = 838.61 × 498.64
  4. Step 4: Simplify right side
    559.38x = 418,164.49
  5. Step 5: Solve for x
    x = 418,164.49/559.38
  6. Step 6: Final answer
    x = 747.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.