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Finding the Fourth Proportional to 986.68, 1,473.62 and 781.48

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Solution

The fourth proportional to 986.68, 1,473.62 and 781.48 is: 1,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.68 : 1,473.62 = 781.48 : x
  2. Step 2: Convert to fraction form
    986.68/1,473.62 = 781.48/x
  3. Step 3: Cross multiply
    986.68x = 1,473.62 × 781.48
  4. Step 4: Simplify right side
    986.68x = 1,151,604.56
  5. Step 5: Solve for x
    x = 1,151,604.56/986.68
  6. Step 6: Final answer
    x = 1,167.15

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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.