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Finding the Fourth Proportional to 520.36, 780.68 and 155.14

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Solution

The fourth proportional to 520.36, 780.68 and 155.14 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 780.68 = 155.14 : x
  2. Step 2: Convert to fraction form
    520.36/780.68 = 155.14/x
  3. Step 3: Cross multiply
    520.36x = 780.68 × 155.14
  4. Step 4: Simplify right side
    520.36x = 121,114.70
  5. Step 5: Solve for x
    x = 121,114.70/520.36
  6. Step 6: Final answer
    x = 232.75

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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.