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Finding the Fourth Proportional to 1,253.76, 1,869.80 and 1,069.79

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Solution

The fourth proportional to 1,253.76, 1,869.80 and 1,069.79 is: 1,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.76 : 1,869.80 = 1,069.79 : x
  2. Step 2: Convert to fraction form
    1,253.76/1,869.80 = 1,069.79/x
  3. Step 3: Cross multiply
    1,253.76x = 1,869.80 × 1,069.79
  4. Step 4: Simplify right side
    1,253.76x = 2,000,278.64
  5. Step 5: Solve for x
    x = 2,000,278.64/1,253.76
  6. Step 6: Final answer
    x = 1,595.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.