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Finding the Fourth Proportional to 868.90, 1,199.10 and 475.94

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Solution

The fourth proportional to 868.90, 1,199.10 and 475.94 is: 656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.90 : 1,199.10 = 475.94 : x
  2. Step 2: Convert to fraction form
    868.90/1,199.10 = 475.94/x
  3. Step 3: Cross multiply
    868.90x = 1,199.10 × 475.94
  4. Step 4: Simplify right side
    868.90x = 570,699.65
  5. Step 5: Solve for x
    x = 570,699.65/868.90
  6. Step 6: Final answer
    x = 656.81

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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.