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Finding the Fourth Proportional to 1,195.21, 1,792.80 and 707.91

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Solution

The fourth proportional to 1,195.21, 1,792.80 and 707.91 is: 1,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.21 : 1,792.80 = 707.91 : x
  2. Step 2: Convert to fraction form
    1,195.21/1,792.80 = 707.91/x
  3. Step 3: Cross multiply
    1,195.21x = 1,792.80 × 707.91
  4. Step 4: Simplify right side
    1,195.21x = 1,269,134.33
  5. Step 5: Solve for x
    x = 1,269,134.33/1,195.21
  6. Step 6: Final answer
    x = 1,061.85

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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.