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Finding the Fourth Proportional to 782.75, 1,174.10 and 372.19

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Solution

The fourth proportional to 782.75, 1,174.10 and 372.19 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,174.10 = 372.19 : x
  2. Step 2: Convert to fraction form
    782.75/1,174.10 = 372.19/x
  3. Step 3: Cross multiply
    782.75x = 1,174.10 × 372.19
  4. Step 4: Simplify right side
    782.75x = 436,986.27
  5. Step 5: Solve for x
    x = 436,986.27/782.75
  6. Step 6: Final answer
    x = 558.27

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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.