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Finding the Fourth Proportional to 898.72, 1,340.53 and 871.40

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Solution

The fourth proportional to 898.72, 1,340.53 and 871.40 is: 1,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.72 : 1,340.53 = 871.40 : x
  2. Step 2: Convert to fraction form
    898.72/1,340.53 = 871.40/x
  3. Step 3: Cross multiply
    898.72x = 1,340.53 × 871.40
  4. Step 4: Simplify right side
    898.72x = 1,168,137.84
  5. Step 5: Solve for x
    x = 1,168,137.84/898.72
  6. Step 6: Final answer
    x = 1,299.78

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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.