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Finding the Fourth Proportional to 755.16, 1,132.87 and 292.90

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Solution

The fourth proportional to 755.16, 1,132.87 and 292.90 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.16 : 1,132.87 = 292.90 : x
  2. Step 2: Convert to fraction form
    755.16/1,132.87 = 292.90/x
  3. Step 3: Cross multiply
    755.16x = 1,132.87 × 292.90
  4. Step 4: Simplify right side
    755.16x = 331,811.96
  5. Step 5: Solve for x
    x = 331,811.96/755.16
  6. Step 6: Final answer
    x = 439.40

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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.