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Finding the Fourth Proportional to 885.40, 1,327.62 and 398.20

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Solution

The fourth proportional to 885.40, 1,327.62 and 398.20 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.40 : 1,327.62 = 398.20 : x
  2. Step 2: Convert to fraction form
    885.40/1,327.62 = 398.20/x
  3. Step 3: Cross multiply
    885.40x = 1,327.62 × 398.20
  4. Step 4: Simplify right side
    885.40x = 528,658.28
  5. Step 5: Solve for x
    x = 528,658.28/885.40
  6. Step 6: Final answer
    x = 597.08

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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.