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Finding the Fourth Proportional to 885.54, 1,221.34 and 553.74

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Solution

The fourth proportional to 885.54, 1,221.34 and 553.74 is: 763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.54 : 1,221.34 = 553.74 : x
  2. Step 2: Convert to fraction form
    885.54/1,221.34 = 553.74/x
  3. Step 3: Cross multiply
    885.54x = 1,221.34 × 553.74
  4. Step 4: Simplify right side
    885.54x = 676,304.81
  5. Step 5: Solve for x
    x = 676,304.81/885.54
  6. Step 6: Final answer
    x = 763.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.