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Finding the Fourth Proportional to 884.81, 1,221.33 and 590.17

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Solution

The fourth proportional to 884.81, 1,221.33 and 590.17 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.81 : 1,221.33 = 590.17 : x
  2. Step 2: Convert to fraction form
    884.81/1,221.33 = 590.17/x
  3. Step 3: Cross multiply
    884.81x = 1,221.33 × 590.17
  4. Step 4: Simplify right side
    884.81x = 720,792.33
  5. Step 5: Solve for x
    x = 720,792.33/884.81
  6. Step 6: Final answer
    x = 814.63

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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.