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Finding the Fourth Proportional to 868.19, 1,197.66 and 588.33

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Solution

The fourth proportional to 868.19, 1,197.66 and 588.33 is: 811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.19 : 1,197.66 = 588.33 : x
  2. Step 2: Convert to fraction form
    868.19/1,197.66 = 588.33/x
  3. Step 3: Cross multiply
    868.19x = 1,197.66 × 588.33
  4. Step 4: Simplify right side
    868.19x = 704,619.31
  5. Step 5: Solve for x
    x = 704,619.31/868.19
  6. Step 6: Final answer
    x = 811.60

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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.