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Finding the Fourth Proportional to 1,328.59, 1,833.42 and 768.70

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Solution

The fourth proportional to 1,328.59, 1,833.42 and 768.70 is: 1,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.59 : 1,833.42 = 768.70 : x
  2. Step 2: Convert to fraction form
    1,328.59/1,833.42 = 768.70/x
  3. Step 3: Cross multiply
    1,328.59x = 1,833.42 × 768.70
  4. Step 4: Simplify right side
    1,328.59x = 1,409,349.95
  5. Step 5: Solve for x
    x = 1,409,349.95/1,328.59
  6. Step 6: Final answer
    x = 1,060.79

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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.