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Finding the Fourth Proportional to 768.75, 1,147.44 and 714.57

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Solution

The fourth proportional to 768.75, 1,147.44 and 714.57 is: 1,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.75 : 1,147.44 = 714.57 : x
  2. Step 2: Convert to fraction form
    768.75/1,147.44 = 714.57/x
  3. Step 3: Cross multiply
    768.75x = 1,147.44 × 714.57
  4. Step 4: Simplify right side
    768.75x = 819,920.46
  5. Step 5: Solve for x
    x = 819,920.46/768.75
  6. Step 6: Final answer
    x = 1,066.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.