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Finding the Fourth Proportional to 726.68, 1,084.41 and 648.81

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Solution

The fourth proportional to 726.68, 1,084.41 and 648.81 is: 968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.68 : 1,084.41 = 648.81 : x
  2. Step 2: Convert to fraction form
    726.68/1,084.41 = 648.81/x
  3. Step 3: Cross multiply
    726.68x = 1,084.41 × 648.81
  4. Step 4: Simplify right side
    726.68x = 703,576.05
  5. Step 5: Solve for x
    x = 703,576.05/726.68
  6. Step 6: Final answer
    x = 968.20

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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.