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Finding the Fourth Proportional to 1,406.84, 1,939.61 and 963.95

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Solution

The fourth proportional to 1,406.84, 1,939.61 and 963.95 is: 1,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.84 : 1,939.61 = 963.95 : x
  2. Step 2: Convert to fraction form
    1,406.84/1,939.61 = 963.95/x
  3. Step 3: Cross multiply
    1,406.84x = 1,939.61 × 963.95
  4. Step 4: Simplify right side
    1,406.84x = 1,869,679.77
  5. Step 5: Solve for x
    x = 1,869,679.77/1,406.84
  6. Step 6: Final answer
    x = 1,329.00

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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.