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Finding the Fourth Proportional to 1,169.60, 1,754.80 and 520.78

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Solution

The fourth proportional to 1,169.60, 1,754.80 and 520.78 is: 781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.60 : 1,754.80 = 520.78 : x
  2. Step 2: Convert to fraction form
    1,169.60/1,754.80 = 520.78/x
  3. Step 3: Cross multiply
    1,169.60x = 1,754.80 × 520.78
  4. Step 4: Simplify right side
    1,169.60x = 913,864.74
  5. Step 5: Solve for x
    x = 913,864.74/1,169.60
  6. Step 6: Final answer
    x = 781.35

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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.