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Finding the Fourth Proportional to 1,256.97, 1,885.86 and 891.46

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Solution

The fourth proportional to 1,256.97, 1,885.86 and 891.46 is: 1,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.97 : 1,885.86 = 891.46 : x
  2. Step 2: Convert to fraction form
    1,256.97/1,885.86 = 891.46/x
  3. Step 3: Cross multiply
    1,256.97x = 1,885.86 × 891.46
  4. Step 4: Simplify right side
    1,256.97x = 1,681,164.04
  5. Step 5: Solve for x
    x = 1,681,164.04/1,256.97
  6. Step 6: Final answer
    x = 1,337.47

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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.