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Finding the Fourth Proportional to 767.89, 1,152.33 and 280.90

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Solution

The fourth proportional to 767.89, 1,152.33 and 280.90 is: 421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.89 : 1,152.33 = 280.90 : x
  2. Step 2: Convert to fraction form
    767.89/1,152.33 = 280.90/x
  3. Step 3: Cross multiply
    767.89x = 1,152.33 × 280.90
  4. Step 4: Simplify right side
    767.89x = 323,689.50
  5. Step 5: Solve for x
    x = 323,689.50/767.89
  6. Step 6: Final answer
    x = 421.53

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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.