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Finding the Fourth Proportional to 921.61, 1,381.72 and 556.31

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Solution

The fourth proportional to 921.61, 1,381.72 and 556.31 is: 834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.61 : 1,381.72 = 556.31 : x
  2. Step 2: Convert to fraction form
    921.61/1,381.72 = 556.31/x
  3. Step 3: Cross multiply
    921.61x = 1,381.72 × 556.31
  4. Step 4: Simplify right side
    921.61x = 768,654.96
  5. Step 5: Solve for x
    x = 768,654.96/921.61
  6. Step 6: Final answer
    x = 834.04

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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.