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Finding the Fourth Proportional to 794.13, 1,089.07 and 760.87

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Solution

The fourth proportional to 794.13, 1,089.07 and 760.87 is: 1,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.13 : 1,089.07 = 760.87 : x
  2. Step 2: Convert to fraction form
    794.13/1,089.07 = 760.87/x
  3. Step 3: Cross multiply
    794.13x = 1,089.07 × 760.87
  4. Step 4: Simplify right side
    794.13x = 828,640.15
  5. Step 5: Solve for x
    x = 828,640.15/794.13
  6. Step 6: Final answer
    x = 1,043.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.