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Finding the Fourth Proportional to 823.38, 1,134.81 and 590.10

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Solution

The fourth proportional to 823.38, 1,134.81 and 590.10 is: 813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,134.81 = 590.10 : x
  2. Step 2: Convert to fraction form
    823.38/1,134.81 = 590.10/x
  3. Step 3: Cross multiply
    823.38x = 1,134.81 × 590.10
  4. Step 4: Simplify right side
    823.38x = 669,651.38
  5. Step 5: Solve for x
    x = 669,651.38/823.38
  6. Step 6: Final answer
    x = 813.30

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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.