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Finding the Fourth Proportional to 1,472.29, 2,031.78 and 809.17

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Solution

The fourth proportional to 1,472.29, 2,031.78 and 809.17 is: 1,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.29 : 2,031.78 = 809.17 : x
  2. Step 2: Convert to fraction form
    1,472.29/2,031.78 = 809.17/x
  3. Step 3: Cross multiply
    1,472.29x = 2,031.78 × 809.17
  4. Step 4: Simplify right side
    1,472.29x = 1,644,055.42
  5. Step 5: Solve for x
    x = 1,644,055.42/1,472.29
  6. Step 6: Final answer
    x = 1,116.67

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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.