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Finding the Fourth Proportional to 797.49, 1,189.46 and 747.87

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Solution

The fourth proportional to 797.49, 1,189.46 and 747.87 is: 1,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.49 : 1,189.46 = 747.87 : x
  2. Step 2: Convert to fraction form
    797.49/1,189.46 = 747.87/x
  3. Step 3: Cross multiply
    797.49x = 1,189.46 × 747.87
  4. Step 4: Simplify right side
    797.49x = 889,557.71
  5. Step 5: Solve for x
    x = 889,557.71/797.49
  6. Step 6: Final answer
    x = 1,115.45

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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.