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Finding the Fourth Proportional to 520.12, 781.98 and 486.28

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Solution

The fourth proportional to 520.12, 781.98 and 486.28 is: 731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 781.98 = 486.28 : x
  2. Step 2: Convert to fraction form
    520.12/781.98 = 486.28/x
  3. Step 3: Cross multiply
    520.12x = 781.98 × 486.28
  4. Step 4: Simplify right side
    520.12x = 380,261.23
  5. Step 5: Solve for x
    x = 380,261.23/520.12
  6. Step 6: Final answer
    x = 731.10

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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.