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Finding the Fourth Proportional to 781.65, 1,166.40 and 712.68

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Solution

The fourth proportional to 781.65, 1,166.40 and 712.68 is: 1,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,166.40 = 712.68 : x
  2. Step 2: Convert to fraction form
    781.65/1,166.40 = 712.68/x
  3. Step 3: Cross multiply
    781.65x = 1,166.40 × 712.68
  4. Step 4: Simplify right side
    781.65x = 831,269.95
  5. Step 5: Solve for x
    x = 831,269.95/781.65
  6. Step 6: Final answer
    x = 1,063.48

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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.