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Finding the Fourth Proportional to 921.74, 1,380.17 and 487.58

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Solution

The fourth proportional to 921.74, 1,380.17 and 487.58 is: 730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.74 : 1,380.17 = 487.58 : x
  2. Step 2: Convert to fraction form
    921.74/1,380.17 = 487.58/x
  3. Step 3: Cross multiply
    921.74x = 1,380.17 × 487.58
  4. Step 4: Simplify right side
    921.74x = 672,943.29
  5. Step 5: Solve for x
    x = 672,943.29/921.74
  6. Step 6: Final answer
    x = 730.08

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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.