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Finding the Fourth Proportional to 798.49, 1,189.90 and 772.39

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Solution

The fourth proportional to 798.49, 1,189.90 and 772.39 is: 1,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.49 : 1,189.90 = 772.39 : x
  2. Step 2: Convert to fraction form
    798.49/1,189.90 = 772.39/x
  3. Step 3: Cross multiply
    798.49x = 1,189.90 × 772.39
  4. Step 4: Simplify right side
    798.49x = 919,066.86
  5. Step 5: Solve for x
    x = 919,066.86/798.49
  6. Step 6: Final answer
    x = 1,151.01

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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.