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Finding the Fourth Proportional to 520.78, 781.08 and 174.10

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Solution

The fourth proportional to 520.78, 781.08 and 174.10 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 781.08 = 174.10 : x
  2. Step 2: Convert to fraction form
    520.78/781.08 = 174.10/x
  3. Step 3: Cross multiply
    520.78x = 781.08 × 174.10
  4. Step 4: Simplify right side
    520.78x = 135,986.03
  5. Step 5: Solve for x
    x = 135,986.03/520.78
  6. Step 6: Final answer
    x = 261.12

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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.