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Finding the Fourth Proportional to 1,010.34, 1,394.19 and 590.85

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Solution

The fourth proportional to 1,010.34, 1,394.19 and 590.85 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.34 : 1,394.19 = 590.85 : x
  2. Step 2: Convert to fraction form
    1,010.34/1,394.19 = 590.85/x
  3. Step 3: Cross multiply
    1,010.34x = 1,394.19 × 590.85
  4. Step 4: Simplify right side
    1,010.34x = 823,757.16
  5. Step 5: Solve for x
    x = 823,757.16/1,010.34
  6. Step 6: Final answer
    x = 815.33

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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.