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Finding the Fourth Proportional to 869.62, 1,208.39 and 860.74

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Solution

The fourth proportional to 869.62, 1,208.39 and 860.74 is: 1,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.62 : 1,208.39 = 860.74 : x
  2. Step 2: Convert to fraction form
    869.62/1,208.39 = 860.74/x
  3. Step 3: Cross multiply
    869.62x = 1,208.39 × 860.74
  4. Step 4: Simplify right side
    869.62x = 1,040,109.61
  5. Step 5: Solve for x
    x = 1,040,109.61/869.62
  6. Step 6: Final answer
    x = 1,196.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.