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Finding the Fourth Proportional to 764.14, 1,052.71 and 630.49

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Solution

The fourth proportional to 764.14, 1,052.71 and 630.49 is: 868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.14 : 1,052.71 = 630.49 : x
  2. Step 2: Convert to fraction form
    764.14/1,052.71 = 630.49/x
  3. Step 3: Cross multiply
    764.14x = 1,052.71 × 630.49
  4. Step 4: Simplify right side
    764.14x = 663,723.13
  5. Step 5: Solve for x
    x = 663,723.13/764.14
  6. Step 6: Final answer
    x = 868.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.