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Finding the Fourth Proportional to 793.18, 1,191.57 and 632.80

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Solution

The fourth proportional to 793.18, 1,191.57 and 632.80 is: 950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.18 : 1,191.57 = 632.80 : x
  2. Step 2: Convert to fraction form
    793.18/1,191.57 = 632.80/x
  3. Step 3: Cross multiply
    793.18x = 1,191.57 × 632.80
  4. Step 4: Simplify right side
    793.18x = 754,025.50
  5. Step 5: Solve for x
    x = 754,025.50/793.18
  6. Step 6: Final answer
    x = 950.64

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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.