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Finding the Fourth Proportional to 782.75, 1,178.69 and 578.75

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Solution

The fourth proportional to 782.75, 1,178.69 and 578.75 is: 871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,178.69 = 578.75 : x
  2. Step 2: Convert to fraction form
    782.75/1,178.69 = 578.75/x
  3. Step 3: Cross multiply
    782.75x = 1,178.69 × 578.75
  4. Step 4: Simplify right side
    782.75x = 682,167.94
  5. Step 5: Solve for x
    x = 682,167.94/782.75
  6. Step 6: Final answer
    x = 871.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.