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Finding the Fourth Proportional to 924.56, 1,380.07 and 815.21

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Solution

The fourth proportional to 924.56, 1,380.07 and 815.21 is: 1,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.56 : 1,380.07 = 815.21 : x
  2. Step 2: Convert to fraction form
    924.56/1,380.07 = 815.21/x
  3. Step 3: Cross multiply
    924.56x = 1,380.07 × 815.21
  4. Step 4: Simplify right side
    924.56x = 1,125,046.86
  5. Step 5: Solve for x
    x = 1,125,046.86/924.56
  6. Step 6: Final answer
    x = 1,216.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.