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Finding the Fourth Proportional to 1,471.98, 2,031.34 and 808.88

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Solution

The fourth proportional to 1,471.98, 2,031.34 and 808.88 is: 1,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.98 : 2,031.34 = 808.88 : x
  2. Step 2: Convert to fraction form
    1,471.98/2,031.34 = 808.88/x
  3. Step 3: Cross multiply
    1,471.98x = 2,031.34 × 808.88
  4. Step 4: Simplify right side
    1,471.98x = 1,643,110.30
  5. Step 5: Solve for x
    x = 1,643,110.30/1,471.98
  6. Step 6: Final answer
    x = 1,116.26

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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.