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Finding the Fourth Proportional to 520.56, 780.32 and 289.55

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Solution

The fourth proportional to 520.56, 780.32 and 289.55 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 780.32 = 289.55 : x
  2. Step 2: Convert to fraction form
    520.56/780.32 = 289.55/x
  3. Step 3: Cross multiply
    520.56x = 780.32 × 289.55
  4. Step 4: Simplify right side
    520.56x = 225,944.33
  5. Step 5: Solve for x
    x = 225,944.33/520.56
  6. Step 6: Final answer
    x = 434.04

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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.