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Finding the Fourth Proportional to 963.28, 1,443.15 and 859.51

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Solution

The fourth proportional to 963.28, 1,443.15 and 859.51 is: 1,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.28 : 1,443.15 = 859.51 : x
  2. Step 2: Convert to fraction form
    963.28/1,443.15 = 859.51/x
  3. Step 3: Cross multiply
    963.28x = 1,443.15 × 859.51
  4. Step 4: Simplify right side
    963.28x = 1,240,398.25
  5. Step 5: Solve for x
    x = 1,240,398.25/963.28
  6. Step 6: Final answer
    x = 1,287.69

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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.