Home / 1,029.17-1,543.40-412.71

Finding the Fourth Proportional to 1,029.17, 1,543.40 and 412.71

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Solution

The fourth proportional to 1,029.17, 1,543.40 and 412.71 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.17 : 1,543.40 = 412.71 : x
  2. Step 2: Convert to fraction form
    1,029.17/1,543.40 = 412.71/x
  3. Step 3: Cross multiply
    1,029.17x = 1,543.40 × 412.71
  4. Step 4: Simplify right side
    1,029.17x = 636,974.55
  5. Step 5: Solve for x
    x = 636,974.55/1,029.17
  6. Step 6: Final answer
    x = 618.92

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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.