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Finding the Fourth Proportional to 1,439.24, 1,986.02 and 809.72

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Solution

The fourth proportional to 1,439.24, 1,986.02 and 809.72 is: 1,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.24 : 1,986.02 = 809.72 : x
  2. Step 2: Convert to fraction form
    1,439.24/1,986.02 = 809.72/x
  3. Step 3: Cross multiply
    1,439.24x = 1,986.02 × 809.72
  4. Step 4: Simplify right side
    1,439.24x = 1,608,120.11
  5. Step 5: Solve for x
    x = 1,608,120.11/1,439.24
  6. Step 6: Final answer
    x = 1,117.34

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1.5x scale

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.