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Finding the Fourth Proportional to 1,429.68, 1,972.44 and 839.78

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Solution

The fourth proportional to 1,429.68, 1,972.44 and 839.78 is: 1,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.68 : 1,972.44 = 839.78 : x
  2. Step 2: Convert to fraction form
    1,429.68/1,972.44 = 839.78/x
  3. Step 3: Cross multiply
    1,429.68x = 1,972.44 × 839.78
  4. Step 4: Simplify right side
    1,429.68x = 1,656,415.66
  5. Step 5: Solve for x
    x = 1,656,415.66/1,429.68
  6. Step 6: Final answer
    x = 1,158.59

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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.