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Finding the Fourth Proportional to 1,472.17, 2,031.59 and 809.00

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Solution

The fourth proportional to 1,472.17, 2,031.59 and 809.00 is: 1,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.17 : 2,031.59 = 809.00 : x
  2. Step 2: Convert to fraction form
    1,472.17/2,031.59 = 809.00/x
  3. Step 3: Cross multiply
    1,472.17x = 2,031.59 × 809.00
  4. Step 4: Simplify right side
    1,472.17x = 1,643,542.11
  5. Step 5: Solve for x
    x = 1,643,542.11/1,472.17
  6. Step 6: Final answer
    x = 1,116.41

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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.