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Finding the Fourth Proportional to 1,031.78, 1,547.67 and 484.13

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Solution

The fourth proportional to 1,031.78, 1,547.67 and 484.13 is: 726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.78 : 1,547.67 = 484.13 : x
  2. Step 2: Convert to fraction form
    1,031.78/1,547.67 = 484.13/x
  3. Step 3: Cross multiply
    1,031.78x = 1,547.67 × 484.13
  4. Step 4: Simplify right side
    1,031.78x = 749,273.48
  5. Step 5: Solve for x
    x = 749,273.48/1,031.78
  6. Step 6: Final answer
    x = 726.20

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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.