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Finding the Fourth Proportional to 786.89, 1,086.14 and 630.61

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Solution

The fourth proportional to 786.89, 1,086.14 and 630.61 is: 870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.89 : 1,086.14 = 630.61 : x
  2. Step 2: Convert to fraction form
    786.89/1,086.14 = 630.61/x
  3. Step 3: Cross multiply
    786.89x = 1,086.14 × 630.61
  4. Step 4: Simplify right side
    786.89x = 684,930.75
  5. Step 5: Solve for x
    x = 684,930.75/786.89
  6. Step 6: Final answer
    x = 870.43

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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.