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Finding the Fourth Proportional to 486.54, 728.04 and 417.14

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Solution

The fourth proportional to 486.54, 728.04 and 417.14 is: 624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 728.04 = 417.14 : x
  2. Step 2: Convert to fraction form
    486.54/728.04 = 417.14/x
  3. Step 3: Cross multiply
    486.54x = 728.04 × 417.14
  4. Step 4: Simplify right side
    486.54x = 303,694.61
  5. Step 5: Solve for x
    x = 303,694.61/486.54
  6. Step 6: Final answer
    x = 624.19

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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.