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Finding the Fourth Proportional to 758.20, 1,137.12 and 514.66

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Solution

The fourth proportional to 758.20, 1,137.12 and 514.66 is: 771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.20 : 1,137.12 = 514.66 : x
  2. Step 2: Convert to fraction form
    758.20/1,137.12 = 514.66/x
  3. Step 3: Cross multiply
    758.20x = 1,137.12 × 514.66
  4. Step 4: Simplify right side
    758.20x = 585,230.18
  5. Step 5: Solve for x
    x = 585,230.18/758.20
  6. Step 6: Final answer
    x = 771.87

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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.