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Finding the Fourth Proportional to 868.09, 1,197.93 and 475.09

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Solution

The fourth proportional to 868.09, 1,197.93 and 475.09 is: 655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.09 : 1,197.93 = 475.09 : x
  2. Step 2: Convert to fraction form
    868.09/1,197.93 = 475.09/x
  3. Step 3: Cross multiply
    868.09x = 1,197.93 × 475.09
  4. Step 4: Simplify right side
    868.09x = 569,118.57
  5. Step 5: Solve for x
    x = 569,118.57/868.09
  6. Step 6: Final answer
    x = 655.60

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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.