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Finding the Fourth Proportional to 520.91, 781.46 and 196.28

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Solution

The fourth proportional to 520.91, 781.46 and 196.28 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.91 : 781.46 = 196.28 : x
  2. Step 2: Convert to fraction form
    520.91/781.46 = 196.28/x
  3. Step 3: Cross multiply
    520.91x = 781.46 × 196.28
  4. Step 4: Simplify right side
    520.91x = 153,381.55
  5. Step 5: Solve for x
    x = 153,381.55/520.91
  6. Step 6: Final answer
    x = 294.45

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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.