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Finding the Fourth Proportional to 849.92, 1,275.20 and 687.36

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Solution

The fourth proportional to 849.92, 1,275.20 and 687.36 is: 1,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.92 : 1,275.20 = 687.36 : x
  2. Step 2: Convert to fraction form
    849.92/1,275.20 = 687.36/x
  3. Step 3: Cross multiply
    849.92x = 1,275.20 × 687.36
  4. Step 4: Simplify right side
    849.92x = 876,521.47
  5. Step 5: Solve for x
    x = 876,521.47/849.92
  6. Step 6: Final answer
    x = 1,031.30

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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.