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Finding the Fourth Proportional to 520.23, 780.40 and 173.60

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Solution

The fourth proportional to 520.23, 780.40 and 173.60 is: 260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 780.40 = 173.60 : x
  2. Step 2: Convert to fraction form
    520.23/780.40 = 173.60/x
  3. Step 3: Cross multiply
    520.23x = 780.40 × 173.60
  4. Step 4: Simplify right side
    520.23x = 135,477.44
  5. Step 5: Solve for x
    x = 135,477.44/520.23
  6. Step 6: Final answer
    x = 260.42

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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.