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Finding the Fourth Proportional to 1,439.68, 1,986.94 and 880.04

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Solution

The fourth proportional to 1,439.68, 1,986.94 and 880.04 is: 1,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.68 : 1,986.94 = 880.04 : x
  2. Step 2: Convert to fraction form
    1,439.68/1,986.94 = 880.04/x
  3. Step 3: Cross multiply
    1,439.68x = 1,986.94 × 880.04
  4. Step 4: Simplify right side
    1,439.68x = 1,748,577.84
  5. Step 5: Solve for x
    x = 1,748,577.84/1,439.68
  6. Step 6: Final answer
    x = 1,214.56

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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.