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Finding the Fourth Proportional to 520.13, 780.28 and 154.94

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Solution

The fourth proportional to 520.13, 780.28 and 154.94 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 780.28 = 154.94 : x
  2. Step 2: Convert to fraction form
    520.13/780.28 = 154.94/x
  3. Step 3: Cross multiply
    520.13x = 780.28 × 154.94
  4. Step 4: Simplify right side
    520.13x = 120,892.29
  5. Step 5: Solve for x
    x = 120,892.29/520.13
  6. Step 6: Final answer
    x = 232.43

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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.