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Finding the Fourth Proportional to 1,175.78, 1,772.33 and 1,077.19

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Solution

The fourth proportional to 1,175.78, 1,772.33 and 1,077.19 is: 1,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.78 : 1,772.33 = 1,077.19 : x
  2. Step 2: Convert to fraction form
    1,175.78/1,772.33 = 1,077.19/x
  3. Step 3: Cross multiply
    1,175.78x = 1,772.33 × 1,077.19
  4. Step 4: Simplify right side
    1,175.78x = 1,909,136.15
  5. Step 5: Solve for x
    x = 1,909,136.15/1,175.78
  6. Step 6: Final answer
    x = 1,623.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.