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Finding the Fourth Proportional to 488.49, 732.71 and 123.28

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Solution

The fourth proportional to 488.49, 732.71 and 123.28 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 732.71 = 123.28 : x
  2. Step 2: Convert to fraction form
    488.49/732.71 = 123.28/x
  3. Step 3: Cross multiply
    488.49x = 732.71 × 123.28
  4. Step 4: Simplify right side
    488.49x = 90,324.83
  5. Step 5: Solve for x
    x = 90,324.83/488.49
  6. Step 6: Final answer
    x = 184.91

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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.