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Finding the Fourth Proportional to 520.25, 780.41 and 173.57

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Solution

The fourth proportional to 520.25, 780.41 and 173.57 is: 260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 780.41 = 173.57 : x
  2. Step 2: Convert to fraction form
    520.25/780.41 = 173.57/x
  3. Step 3: Cross multiply
    520.25x = 780.41 × 173.57
  4. Step 4: Simplify right side
    520.25x = 135,450.99
  5. Step 5: Solve for x
    x = 135,450.99/520.25
  6. Step 6: Final answer
    x = 260.36

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Double scale
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Similar ratio
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1.5x scale

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.