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Finding the Fourth Proportional to 1,031.92, 1,547.89 and 826.22

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Solution

The fourth proportional to 1,031.92, 1,547.89 and 826.22 is: 1,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.92 : 1,547.89 = 826.22 : x
  2. Step 2: Convert to fraction form
    1,031.92/1,547.89 = 826.22/x
  3. Step 3: Cross multiply
    1,031.92x = 1,547.89 × 826.22
  4. Step 4: Simplify right side
    1,031.92x = 1,278,897.68
  5. Step 5: Solve for x
    x = 1,278,897.68/1,031.92
  6. Step 6: Final answer
    x = 1,239.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.