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Finding the Fourth Proportional to 767.18, 1,149.72 and 355.40

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Solution

The fourth proportional to 767.18, 1,149.72 and 355.40 is: 532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.18 : 1,149.72 = 355.40 : x
  2. Step 2: Convert to fraction form
    767.18/1,149.72 = 355.40/x
  3. Step 3: Cross multiply
    767.18x = 1,149.72 × 355.40
  4. Step 4: Simplify right side
    767.18x = 408,610.49
  5. Step 5: Solve for x
    x = 408,610.49/767.18
  6. Step 6: Final answer
    x = 532.61

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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.