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Finding the Fourth Proportional to 886.34, 1,223.42 and 571.61

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Solution

The fourth proportional to 886.34, 1,223.42 and 571.61 is: 788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.34 : 1,223.42 = 571.61 : x
  2. Step 2: Convert to fraction form
    886.34/1,223.42 = 571.61/x
  3. Step 3: Cross multiply
    886.34x = 1,223.42 × 571.61
  4. Step 4: Simplify right side
    886.34x = 699,319.31
  5. Step 5: Solve for x
    x = 699,319.31/886.34
  6. Step 6: Final answer
    x = 788.99

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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.