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Finding the Fourth Proportional to 886.23, 1,328.13 and 398.14

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Solution

The fourth proportional to 886.23, 1,328.13 and 398.14 is: 596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,328.13 = 398.14 : x
  2. Step 2: Convert to fraction form
    886.23/1,328.13 = 398.14/x
  3. Step 3: Cross multiply
    886.23x = 1,328.13 × 398.14
  4. Step 4: Simplify right side
    886.23x = 528,778.36
  5. Step 5: Solve for x
    x = 528,778.36/886.23
  6. Step 6: Final answer
    x = 596.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.