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Finding the Fourth Proportional to 798.43, 1,190.90 and 774.13

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Solution

The fourth proportional to 798.43, 1,190.90 and 774.13 is: 1,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.43 : 1,190.90 = 774.13 : x
  2. Step 2: Convert to fraction form
    798.43/1,190.90 = 774.13/x
  3. Step 3: Cross multiply
    798.43x = 1,190.90 × 774.13
  4. Step 4: Simplify right side
    798.43x = 921,911.42
  5. Step 5: Solve for x
    x = 921,911.42/798.43
  6. Step 6: Final answer
    x = 1,154.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.