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Finding the Fourth Proportional to 885.78, 1,335.20 and 808.02

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Solution

The fourth proportional to 885.78, 1,335.20 and 808.02 is: 1,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.78 : 1,335.20 = 808.02 : x
  2. Step 2: Convert to fraction form
    885.78/1,335.20 = 808.02/x
  3. Step 3: Cross multiply
    885.78x = 1,335.20 × 808.02
  4. Step 4: Simplify right side
    885.78x = 1,078,864.26
  5. Step 5: Solve for x
    x = 1,078,864.26/885.78
  6. Step 6: Final answer
    x = 1,217.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.