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Finding the Fourth Proportional to 520.24, 780.08 and 173.53

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Solution

The fourth proportional to 520.24, 780.08 and 173.53 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 780.08 = 173.53 : x
  2. Step 2: Convert to fraction form
    520.24/780.08 = 173.53/x
  3. Step 3: Cross multiply
    520.24x = 780.08 × 173.53
  4. Step 4: Simplify right side
    520.24x = 135,367.28
  5. Step 5: Solve for x
    x = 135,367.28/520.24
  6. Step 6: Final answer
    x = 260.20

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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.