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Finding the Fourth Proportional to 766.50, 1,147.80 and 505.72

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Solution

The fourth proportional to 766.50, 1,147.80 and 505.72 is: 757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.50 : 1,147.80 = 505.72 : x
  2. Step 2: Convert to fraction form
    766.50/1,147.80 = 505.72/x
  3. Step 3: Cross multiply
    766.50x = 1,147.80 × 505.72
  4. Step 4: Simplify right side
    766.50x = 580,465.42
  5. Step 5: Solve for x
    x = 580,465.42/766.50
  6. Step 6: Final answer
    x = 757.29

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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.