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Finding the Fourth Proportional to 520.39, 780.49 and 195.70

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Solution

The fourth proportional to 520.39, 780.49 and 195.70 is: 293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 780.49 = 195.70 : x
  2. Step 2: Convert to fraction form
    520.39/780.49 = 195.70/x
  3. Step 3: Cross multiply
    520.39x = 780.49 × 195.70
  4. Step 4: Simplify right side
    520.39x = 152,741.89
  5. Step 5: Solve for x
    x = 152,741.89/520.39
  6. Step 6: Final answer
    x = 293.51

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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.