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Finding the Fourth Proportional to 963.82, 1,440.09 and 712.59

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Solution

The fourth proportional to 963.82, 1,440.09 and 712.59 is: 1,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.82 : 1,440.09 = 712.59 : x
  2. Step 2: Convert to fraction form
    963.82/1,440.09 = 712.59/x
  3. Step 3: Cross multiply
    963.82x = 1,440.09 × 712.59
  4. Step 4: Simplify right side
    963.82x = 1,026,189.61
  5. Step 5: Solve for x
    x = 1,026,189.61/963.82
  6. Step 6: Final answer
    x = 1,064.71

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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.