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Finding the Fourth Proportional to 885.78, 1,328.40 and 338.22

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Solution

The fourth proportional to 885.78, 1,328.40 and 338.22 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.78 : 1,328.40 = 338.22 : x
  2. Step 2: Convert to fraction form
    885.78/1,328.40 = 338.22/x
  3. Step 3: Cross multiply
    885.78x = 1,328.40 × 338.22
  4. Step 4: Simplify right side
    885.78x = 449,291.45
  5. Step 5: Solve for x
    x = 449,291.45/885.78
  6. Step 6: Final answer
    x = 507.23

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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.