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Finding the Fourth Proportional to 1,170.95, 1,757.04 and 521.75

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Solution

The fourth proportional to 1,170.95, 1,757.04 and 521.75 is: 782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.95 : 1,757.04 = 521.75 : x
  2. Step 2: Convert to fraction form
    1,170.95/1,757.04 = 521.75/x
  3. Step 3: Cross multiply
    1,170.95x = 1,757.04 × 521.75
  4. Step 4: Simplify right side
    1,170.95x = 916,735.62
  5. Step 5: Solve for x
    x = 916,735.62/1,170.95
  6. Step 6: Final answer
    x = 782.90

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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.