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Finding the Fourth Proportional to 1,301.71, 1,796.31 and 777.64

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Solution

The fourth proportional to 1,301.71, 1,796.31 and 777.64 is: 1,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.71 : 1,796.31 = 777.64 : x
  2. Step 2: Convert to fraction form
    1,301.71/1,796.31 = 777.64/x
  3. Step 3: Cross multiply
    1,301.71x = 1,796.31 × 777.64
  4. Step 4: Simplify right side
    1,301.71x = 1,396,878.02
  5. Step 5: Solve for x
    x = 1,396,878.02/1,301.71
  6. Step 6: Final answer
    x = 1,073.11

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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.