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Finding the Fourth Proportional to 769.49, 1,148.70 and 714.82

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Solution

The fourth proportional to 769.49, 1,148.70 and 714.82 is: 1,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.49 : 1,148.70 = 714.82 : x
  2. Step 2: Convert to fraction form
    769.49/1,148.70 = 714.82/x
  3. Step 3: Cross multiply
    769.49x = 1,148.70 × 714.82
  4. Step 4: Simplify right side
    769.49x = 821,107.29
  5. Step 5: Solve for x
    x = 821,107.29/769.49
  6. Step 6: Final answer
    x = 1,067.08

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1.5x scale

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.