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Finding the Fourth Proportional to 801.05, 1,103.81 and 590.89

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Solution

The fourth proportional to 801.05, 1,103.81 and 590.89 is: 814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.05 : 1,103.81 = 590.89 : x
  2. Step 2: Convert to fraction form
    801.05/1,103.81 = 590.89/x
  3. Step 3: Cross multiply
    801.05x = 1,103.81 × 590.89
  4. Step 4: Simplify right side
    801.05x = 652,233.69
  5. Step 5: Solve for x
    x = 652,233.69/801.05
  6. Step 6: Final answer
    x = 814.22

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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.