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Finding the Fourth Proportional to 1,029.14, 1,543.91 and 542.33

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Solution

The fourth proportional to 1,029.14, 1,543.91 and 542.33 is: 813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.14 : 1,543.91 = 542.33 : x
  2. Step 2: Convert to fraction form
    1,029.14/1,543.91 = 542.33/x
  3. Step 3: Cross multiply
    1,029.14x = 1,543.91 × 542.33
  4. Step 4: Simplify right side
    1,029.14x = 837,298.28
  5. Step 5: Solve for x
    x = 837,298.28/1,029.14
  6. Step 6: Final answer
    x = 813.59

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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.