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Finding the Fourth Proportional to 781.64, 1,171.70 and 699.63

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Solution

The fourth proportional to 781.64, 1,171.70 and 699.63 is: 1,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.64 : 1,171.70 = 699.63 : x
  2. Step 2: Convert to fraction form
    781.64/1,171.70 = 699.63/x
  3. Step 3: Cross multiply
    781.64x = 1,171.70 × 699.63
  4. Step 4: Simplify right side
    781.64x = 819,756.47
  5. Step 5: Solve for x
    x = 819,756.47/781.64
  6. Step 6: Final answer
    x = 1,048.76

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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.