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Finding the Fourth Proportional to 868.91, 1,199.43 and 574.58

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Solution

The fourth proportional to 868.91, 1,199.43 and 574.58 is: 793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.91 : 1,199.43 = 574.58 : x
  2. Step 2: Convert to fraction form
    868.91/1,199.43 = 574.58/x
  3. Step 3: Cross multiply
    868.91x = 1,199.43 × 574.58
  4. Step 4: Simplify right side
    868.91x = 689,159.62
  5. Step 5: Solve for x
    x = 689,159.62/868.91
  6. Step 6: Final answer
    x = 793.13

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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.