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Finding the Fourth Proportional to 885.67, 1,221.39 and 601.77

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Solution

The fourth proportional to 885.67, 1,221.39 and 601.77 is: 829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.67 : 1,221.39 = 601.77 : x
  2. Step 2: Convert to fraction form
    885.67/1,221.39 = 601.77/x
  3. Step 3: Cross multiply
    885.67x = 1,221.39 × 601.77
  4. Step 4: Simplify right side
    885.67x = 734,995.86
  5. Step 5: Solve for x
    x = 734,995.86/885.67
  6. Step 6: Final answer
    x = 829.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.