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Finding the Fourth Proportional to 823.80, 1,138.26 and 590.52

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Solution

The fourth proportional to 823.80, 1,138.26 and 590.52 is: 815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,138.26 = 590.52 : x
  2. Step 2: Convert to fraction form
    823.80/1,138.26 = 590.52/x
  3. Step 3: Cross multiply
    823.80x = 1,138.26 × 590.52
  4. Step 4: Simplify right side
    823.80x = 672,165.30
  5. Step 5: Solve for x
    x = 672,165.30/823.80
  6. Step 6: Final answer
    x = 815.93

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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.