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Finding the Fourth Proportional to 781.50, 1,170.57 and 506.79

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Solution

The fourth proportional to 781.50, 1,170.57 and 506.79 is: 759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.50 : 1,170.57 = 506.79 : x
  2. Step 2: Convert to fraction form
    781.50/1,170.57 = 506.79/x
  3. Step 3: Cross multiply
    781.50x = 1,170.57 × 506.79
  4. Step 4: Simplify right side
    781.50x = 593,233.17
  5. Step 5: Solve for x
    x = 593,233.17/781.50
  6. Step 6: Final answer
    x = 759.10

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1.5x scale

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.