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Finding the Fourth Proportional to 712.14, 1,066.17 and 643.80

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Solution

The fourth proportional to 712.14, 1,066.17 and 643.80 is: 963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.14 : 1,066.17 = 643.80 : x
  2. Step 2: Convert to fraction form
    712.14/1,066.17 = 643.80/x
  3. Step 3: Cross multiply
    712.14x = 1,066.17 × 643.80
  4. Step 4: Simplify right side
    712.14x = 686,400.25
  5. Step 5: Solve for x
    x = 686,400.25/712.14
  6. Step 6: Final answer
    x = 963.86

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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.