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Finding the Fourth Proportional to 932.85, 1,287.49 and 540.11

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Solution

The fourth proportional to 932.85, 1,287.49 and 540.11 is: 745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.85 : 1,287.49 = 540.11 : x
  2. Step 2: Convert to fraction form
    932.85/1,287.49 = 540.11/x
  3. Step 3: Cross multiply
    932.85x = 1,287.49 × 540.11
  4. Step 4: Simplify right side
    932.85x = 695,386.22
  5. Step 5: Solve for x
    x = 695,386.22/932.85
  6. Step 6: Final answer
    x = 745.44

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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.