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Finding the Fourth Proportional to 766.49, 1,148.10 and 711.41

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Solution

The fourth proportional to 766.49, 1,148.10 and 711.41 is: 1,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.49 : 1,148.10 = 711.41 : x
  2. Step 2: Convert to fraction form
    766.49/1,148.10 = 711.41/x
  3. Step 3: Cross multiply
    766.49x = 1,148.10 × 711.41
  4. Step 4: Simplify right side
    766.49x = 816,769.82
  5. Step 5: Solve for x
    x = 816,769.82/766.49
  6. Step 6: Final answer
    x = 1,065.60

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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.