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Finding the Fourth Proportional to 797.07, 1,189.20 and 709.36

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Solution

The fourth proportional to 797.07, 1,189.20 and 709.36 is: 1,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.07 : 1,189.20 = 709.36 : x
  2. Step 2: Convert to fraction form
    797.07/1,189.20 = 709.36/x
  3. Step 3: Cross multiply
    797.07x = 1,189.20 × 709.36
  4. Step 4: Simplify right side
    797.07x = 843,570.91
  5. Step 5: Solve for x
    x = 843,570.91/797.07
  6. Step 6: Final answer
    x = 1,058.34

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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.