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Finding the Fourth Proportional to 1,424.84, 1,965.80 and 834.95

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Solution

The fourth proportional to 1,424.84, 1,965.80 and 834.95 is: 1,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.84 : 1,965.80 = 834.95 : x
  2. Step 2: Convert to fraction form
    1,424.84/1,965.80 = 834.95/x
  3. Step 3: Cross multiply
    1,424.84x = 1,965.80 × 834.95
  4. Step 4: Simplify right side
    1,424.84x = 1,641,351.71
  5. Step 5: Solve for x
    x = 1,641,351.71/1,424.84
  6. Step 6: Final answer
    x = 1,151.96

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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.