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Finding the Fourth Proportional to 1,139.54, 1,707.64 and 878.62

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Solution

The fourth proportional to 1,139.54, 1,707.64 and 878.62 is: 1,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.54 : 1,707.64 = 878.62 : x
  2. Step 2: Convert to fraction form
    1,139.54/1,707.64 = 878.62/x
  3. Step 3: Cross multiply
    1,139.54x = 1,707.64 × 878.62
  4. Step 4: Simplify right side
    1,139.54x = 1,500,366.66
  5. Step 5: Solve for x
    x = 1,500,366.66/1,139.54
  6. Step 6: Final answer
    x = 1,316.64

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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.