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Finding the Fourth Proportional to 963.06, 1,328.31 and 884.61

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Solution

The fourth proportional to 963.06, 1,328.31 and 884.61 is: 1,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.06 : 1,328.31 = 884.61 : x
  2. Step 2: Convert to fraction form
    963.06/1,328.31 = 884.61/x
  3. Step 3: Cross multiply
    963.06x = 1,328.31 × 884.61
  4. Step 4: Simplify right side
    963.06x = 1,175,036.31
  5. Step 5: Solve for x
    x = 1,175,036.31/963.06
  6. Step 6: Final answer
    x = 1,220.11

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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.