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Finding the Fourth Proportional to 782.15, 1,173.50 and 371.61

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Solution

The fourth proportional to 782.15, 1,173.50 and 371.61 is: 557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.15 : 1,173.50 = 371.61 : x
  2. Step 2: Convert to fraction form
    782.15/1,173.50 = 371.61/x
  3. Step 3: Cross multiply
    782.15x = 1,173.50 × 371.61
  4. Step 4: Simplify right side
    782.15x = 436,082.48
  5. Step 5: Solve for x
    x = 436,082.48/782.15
  6. Step 6: Final answer
    x = 557.55

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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.