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Finding the Fourth Proportional to 793.75, 1,191.31 and 307.14

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Solution

The fourth proportional to 793.75, 1,191.31 and 307.14 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.75 : 1,191.31 = 307.14 : x
  2. Step 2: Convert to fraction form
    793.75/1,191.31 = 307.14/x
  3. Step 3: Cross multiply
    793.75x = 1,191.31 × 307.14
  4. Step 4: Simplify right side
    793.75x = 365,900.42
  5. Step 5: Solve for x
    x = 365,900.42/793.75
  6. Step 6: Final answer
    x = 460.98

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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.