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Finding the Fourth Proportional to 1,301.52, 1,796.31 and 777.86

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Solution

The fourth proportional to 1,301.52, 1,796.31 and 777.86 is: 1,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.52 : 1,796.31 = 777.86 : x
  2. Step 2: Convert to fraction form
    1,301.52/1,796.31 = 777.86/x
  3. Step 3: Cross multiply
    1,301.52x = 1,796.31 × 777.86
  4. Step 4: Simplify right side
    1,301.52x = 1,397,277.70
  5. Step 5: Solve for x
    x = 1,397,277.70/1,301.52
  6. Step 6: Final answer
    x = 1,073.57

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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.