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Finding the Fourth Proportional to 920.76, 1,380.06 and 487.14

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Solution

The fourth proportional to 920.76, 1,380.06 and 487.14 is: 730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.76 : 1,380.06 = 487.14 : x
  2. Step 2: Convert to fraction form
    920.76/1,380.06 = 487.14/x
  3. Step 3: Cross multiply
    920.76x = 1,380.06 × 487.14
  4. Step 4: Simplify right side
    920.76x = 672,282.43
  5. Step 5: Solve for x
    x = 672,282.43/920.76
  6. Step 6: Final answer
    x = 730.14

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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.