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Finding the Fourth Proportional to 921.66, 1,380.47 and 596.04

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Solution

The fourth proportional to 921.66, 1,380.47 and 596.04 is: 892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.66 : 1,380.47 = 596.04 : x
  2. Step 2: Convert to fraction form
    921.66/1,380.47 = 596.04/x
  3. Step 3: Cross multiply
    921.66x = 1,380.47 × 596.04
  4. Step 4: Simplify right side
    921.66x = 822,812.36
  5. Step 5: Solve for x
    x = 822,812.36/921.66
  6. Step 6: Final answer
    x = 892.75

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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.