Home / 1,069.28-1,601.18-947.17

Finding the Fourth Proportional to 1,069.28, 1,601.18 and 947.17

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Solution

The fourth proportional to 1,069.28, 1,601.18 and 947.17 is: 1,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.28 : 1,601.18 = 947.17 : x
  2. Step 2: Convert to fraction form
    1,069.28/1,601.18 = 947.17/x
  3. Step 3: Cross multiply
    1,069.28x = 1,601.18 × 947.17
  4. Step 4: Simplify right side
    1,069.28x = 1,516,584.92
  5. Step 5: Solve for x
    x = 1,516,584.92/1,069.28
  6. Step 6: Final answer
    x = 1,418.33

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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.