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Finding the Fourth Proportional to 794.16, 1,095.78 and 689.07

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Solution

The fourth proportional to 794.16, 1,095.78 and 689.07 is: 950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,095.78 = 689.07 : x
  2. Step 2: Convert to fraction form
    794.16/1,095.78 = 689.07/x
  3. Step 3: Cross multiply
    794.16x = 1,095.78 × 689.07
  4. Step 4: Simplify right side
    794.16x = 755,069.12
  5. Step 5: Solve for x
    x = 755,069.12/794.16
  6. Step 6: Final answer
    x = 950.78

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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.