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Finding the Fourth Proportional to 1,077.90, 1,616.85 and 962.48

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Solution

The fourth proportional to 1,077.90, 1,616.85 and 962.48 is: 1,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.90 : 1,616.85 = 962.48 : x
  2. Step 2: Convert to fraction form
    1,077.90/1,616.85 = 962.48/x
  3. Step 3: Cross multiply
    1,077.90x = 1,616.85 × 962.48
  4. Step 4: Simplify right side
    1,077.90x = 1,556,177.70
  5. Step 5: Solve for x
    x = 1,556,177.70/1,077.90
  6. Step 6: Final answer
    x = 1,443.71

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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.