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Finding the Fourth Proportional to 898.80, 1,240.92 and 810.24

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Solution

The fourth proportional to 898.80, 1,240.92 and 810.24 is: 1,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.80 : 1,240.92 = 810.24 : x
  2. Step 2: Convert to fraction form
    898.80/1,240.92 = 810.24/x
  3. Step 3: Cross multiply
    898.80x = 1,240.92 × 810.24
  4. Step 4: Simplify right side
    898.80x = 1,005,443.02
  5. Step 5: Solve for x
    x = 1,005,443.02/898.80
  6. Step 6: Final answer
    x = 1,118.65

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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.