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Finding the Fourth Proportional to 520.03, 780.12 and 154.78

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Solution

The fourth proportional to 520.03, 780.12 and 154.78 is: 232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.03 : 780.12 = 154.78 : x
  2. Step 2: Convert to fraction form
    520.03/780.12 = 154.78/x
  3. Step 3: Cross multiply
    520.03x = 780.12 × 154.78
  4. Step 4: Simplify right side
    520.03x = 120,745.02
  5. Step 5: Solve for x
    x = 120,745.02/520.03
  6. Step 6: Final answer
    x = 232.19

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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.