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Finding the Fourth Proportional to 920.61, 1,381.92 and 551.22

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Solution

The fourth proportional to 920.61, 1,381.92 and 551.22 is: 827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.61 : 1,381.92 = 551.22 : x
  2. Step 2: Convert to fraction form
    920.61/1,381.92 = 551.22/x
  3. Step 3: Cross multiply
    920.61x = 1,381.92 × 551.22
  4. Step 4: Simplify right side
    920.61x = 761,741.94
  5. Step 5: Solve for x
    x = 761,741.94/920.61
  6. Step 6: Final answer
    x = 827.43

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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.