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Finding the Fourth Proportional to 1,231.71, 1,699 and 789.45

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Solution

The fourth proportional to 1,231.71, 1,699 and 789.45 is: 1,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.71 : 1,699 = 789.45 : x
  2. Step 2: Convert to fraction form
    1,231.71/1,699 = 789.45/x
  3. Step 3: Cross multiply
    1,231.71x = 1,699 × 789.45
  4. Step 4: Simplify right side
    1,231.71x = 1,341,275.55
  5. Step 5: Solve for x
    x = 1,341,275.55/1,231.71
  6. Step 6: Final answer
    x = 1,088.95

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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.