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Finding the Fourth Proportional to 826.03, 1,139.69 and 590.05

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Solution

The fourth proportional to 826.03, 1,139.69 and 590.05 is: 814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.03 : 1,139.69 = 590.05 : x
  2. Step 2: Convert to fraction form
    826.03/1,139.69 = 590.05/x
  3. Step 3: Cross multiply
    826.03x = 1,139.69 × 590.05
  4. Step 4: Simplify right side
    826.03x = 672,465.44
  5. Step 5: Solve for x
    x = 672,465.44/826.03
  6. Step 6: Final answer
    x = 814.10

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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.