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Finding the Fourth Proportional to 837.03, 1,155.13 and 542.80

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Solution

The fourth proportional to 837.03, 1,155.13 and 542.80 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.03 : 1,155.13 = 542.80 : x
  2. Step 2: Convert to fraction form
    837.03/1,155.13 = 542.80/x
  3. Step 3: Cross multiply
    837.03x = 1,155.13 × 542.80
  4. Step 4: Simplify right side
    837.03x = 627,004.65
  5. Step 5: Solve for x
    x = 627,004.65/837.03
  6. Step 6: Final answer
    x = 749.08

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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.