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Finding the Fourth Proportional to 520.60, 780.67 and 174.02

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Solution

The fourth proportional to 520.60, 780.67 and 174.02 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 780.67 = 174.02 : x
  2. Step 2: Convert to fraction form
    520.60/780.67 = 174.02/x
  3. Step 3: Cross multiply
    520.60x = 780.67 × 174.02
  4. Step 4: Simplify right side
    520.60x = 135,852.19
  5. Step 5: Solve for x
    x = 135,852.19/520.60
  6. Step 6: Final answer
    x = 260.95

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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.