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Finding the Fourth Proportional to 898.71, 1,340.36 and 880.44

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Solution

The fourth proportional to 898.71, 1,340.36 and 880.44 is: 1,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.71 : 1,340.36 = 880.44 : x
  2. Step 2: Convert to fraction form
    898.71/1,340.36 = 880.44/x
  3. Step 3: Cross multiply
    898.71x = 1,340.36 × 880.44
  4. Step 4: Simplify right side
    898.71x = 1,180,102.16
  5. Step 5: Solve for x
    x = 1,180,102.16/898.71
  6. Step 6: Final answer
    x = 1,313.11

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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.