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Finding the Fourth Proportional to 1,456.80, 2,186 and 687.28

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Solution

The fourth proportional to 1,456.80, 2,186 and 687.28 is: 1,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.80 : 2,186 = 687.28 : x
  2. Step 2: Convert to fraction form
    1,456.80/2,186 = 687.28/x
  3. Step 3: Cross multiply
    1,456.80x = 2,186 × 687.28
  4. Step 4: Simplify right side
    1,456.80x = 1,502,394.08
  5. Step 5: Solve for x
    x = 1,502,394.08/1,456.80
  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.