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Finding the Fourth Proportional to 520.13, 780.21 and 173.48

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Solution

The fourth proportional to 520.13, 780.21 and 173.48 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 780.21 = 173.48 : x
  2. Step 2: Convert to fraction form
    520.13/780.21 = 173.48/x
  3. Step 3: Cross multiply
    520.13x = 780.21 × 173.48
  4. Step 4: Simplify right side
    520.13x = 135,346.93
  5. Step 5: Solve for x
    x = 135,346.93/520.13
  6. Step 6: Final answer
    x = 260.22

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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.