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Finding the Fourth Proportional to 486.08, 727.68 and 314.72

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Solution

The fourth proportional to 486.08, 727.68 and 314.72 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.08 : 727.68 = 314.72 : x
  2. Step 2: Convert to fraction form
    486.08/727.68 = 314.72/x
  3. Step 3: Cross multiply
    486.08x = 727.68 × 314.72
  4. Step 4: Simplify right side
    486.08x = 229,015.45
  5. Step 5: Solve for x
    x = 229,015.45/486.08
  6. Step 6: Final answer
    x = 471.15

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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.