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Finding the Fourth Proportional to 886.34, 1,328.75 and 338.91

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Solution

The fourth proportional to 886.34, 1,328.75 and 338.91 is: 508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.34 : 1,328.75 = 338.91 : x
  2. Step 2: Convert to fraction form
    886.34/1,328.75 = 338.91/x
  3. Step 3: Cross multiply
    886.34x = 1,328.75 × 338.91
  4. Step 4: Simplify right side
    886.34x = 450,326.90
  5. Step 5: Solve for x
    x = 450,326.90/886.34
  6. Step 6: Final answer
    x = 508.07

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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.