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Finding the Fourth Proportional to 885.86, 1,325.81 and 817.05

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Solution

The fourth proportional to 885.86, 1,325.81 and 817.05 is: 1,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.86 : 1,325.81 = 817.05 : x
  2. Step 2: Convert to fraction form
    885.86/1,325.81 = 817.05/x
  3. Step 3: Cross multiply
    885.86x = 1,325.81 × 817.05
  4. Step 4: Simplify right side
    885.86x = 1,083,248.98
  5. Step 5: Solve for x
    x = 1,083,248.98/885.86
  6. Step 6: Final answer
    x = 1,222.83

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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.