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Finding the Fourth Proportional to 1,170.32, 1,755.95 and 520.61

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Solution

The fourth proportional to 1,170.32, 1,755.95 and 520.61 is: 781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.32 : 1,755.95 = 520.61 : x
  2. Step 2: Convert to fraction form
    1,170.32/1,755.95 = 520.61/x
  3. Step 3: Cross multiply
    1,170.32x = 1,755.95 × 520.61
  4. Step 4: Simplify right side
    1,170.32x = 914,153.75
  5. Step 5: Solve for x
    x = 914,153.75/1,170.32
  6. Step 6: Final answer
    x = 781.12

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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.