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Finding the Fourth Proportional to 1,439.67, 1,986.08 and 908.31

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Solution

The fourth proportional to 1,439.67, 1,986.08 and 908.31 is: 1,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.67 : 1,986.08 = 908.31 : x
  2. Step 2: Convert to fraction form
    1,439.67/1,986.08 = 908.31/x
  3. Step 3: Cross multiply
    1,439.67x = 1,986.08 × 908.31
  4. Step 4: Simplify right side
    1,439.67x = 1,803,971.78
  5. Step 5: Solve for x
    x = 1,803,971.78/1,439.67
  6. Step 6: Final answer
    x = 1,253.05

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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.