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Finding the Fourth Proportional to 964.49, 1,438.92 and 885.20

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Solution

The fourth proportional to 964.49, 1,438.92 and 885.20 is: 1,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.49 : 1,438.92 = 885.20 : x
  2. Step 2: Convert to fraction form
    964.49/1,438.92 = 885.20/x
  3. Step 3: Cross multiply
    964.49x = 1,438.92 × 885.20
  4. Step 4: Simplify right side
    964.49x = 1,273,727.56
  5. Step 5: Solve for x
    x = 1,273,727.56/964.49
  6. Step 6: Final answer
    x = 1,320.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.