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Finding the Fourth Proportional to 1,290.29, 1,934.63 and 878.18

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Solution

The fourth proportional to 1,290.29, 1,934.63 and 878.18 is: 1,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.29 : 1,934.63 = 878.18 : x
  2. Step 2: Convert to fraction form
    1,290.29/1,934.63 = 878.18/x
  3. Step 3: Cross multiply
    1,290.29x = 1,934.63 × 878.18
  4. Step 4: Simplify right side
    1,290.29x = 1,698,947.54
  5. Step 5: Solve for x
    x = 1,698,947.54/1,290.29
  6. Step 6: Final answer
    x = 1,316.72

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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.