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Finding the Fourth Proportional to 520.11, 780 and 144.86

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Solution

The fourth proportional to 520.11, 780 and 144.86 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.11 : 780 = 144.86 : x
  2. Step 2: Convert to fraction form
    520.11/780 = 144.86/x
  3. Step 3: Cross multiply
    520.11x = 780 × 144.86
  4. Step 4: Simplify right side
    520.11x = 112,986.90
  5. Step 5: Solve for x
    x = 112,986.90/520.11
  6. Step 6: Final answer
    x = 217.24

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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.