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Finding the Fourth Proportional to 885.61, 1,326.35 and 854.85

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Solution

The fourth proportional to 885.61, 1,326.35 and 854.85 is: 1,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.61 : 1,326.35 = 854.85 : x
  2. Step 2: Convert to fraction form
    885.61/1,326.35 = 854.85/x
  3. Step 3: Cross multiply
    885.61x = 1,326.35 × 854.85
  4. Step 4: Simplify right side
    885.61x = 1,133,830.30
  5. Step 5: Solve for x
    x = 1,133,830.30/885.61
  6. Step 6: Final answer
    x = 1,280.28

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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.