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Finding the Fourth Proportional to 769.14, 1,155.56 and 714.47

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Solution

The fourth proportional to 769.14, 1,155.56 and 714.47 is: 1,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,155.56 = 714.47 : x
  2. Step 2: Convert to fraction form
    769.14/1,155.56 = 714.47/x
  3. Step 3: Cross multiply
    769.14x = 1,155.56 × 714.47
  4. Step 4: Simplify right side
    769.14x = 825,603.60
  5. Step 5: Solve for x
    x = 825,603.60/769.14
  6. Step 6: Final answer
    x = 1,073.41

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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.