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Finding the Fourth Proportional to 488.80, 733.18 and 123.59

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Solution

The fourth proportional to 488.80, 733.18 and 123.59 is: 185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.80 : 733.18 = 123.59 : x
  2. Step 2: Convert to fraction form
    488.80/733.18 = 123.59/x
  3. Step 3: Cross multiply
    488.80x = 733.18 × 123.59
  4. Step 4: Simplify right side
    488.80x = 90,613.72
  5. Step 5: Solve for x
    x = 90,613.72/488.80
  6. Step 6: Final answer
    x = 185.38

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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.