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Finding the Fourth Proportional to 1,221.60, 1,685.92 and 891.04

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Solution

The fourth proportional to 1,221.60, 1,685.92 and 891.04 is: 1,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.60 : 1,685.92 = 891.04 : x
  2. Step 2: Convert to fraction form
    1,221.60/1,685.92 = 891.04/x
  3. Step 3: Cross multiply
    1,221.60x = 1,685.92 × 891.04
  4. Step 4: Simplify right side
    1,221.60x = 1,502,222.16
  5. Step 5: Solve for x
    x = 1,502,222.16/1,221.60
  6. Step 6: Final answer
    x = 1,229.72

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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.