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Finding the Fourth Proportional to 811.62, 1,118.48 and 590.22

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Solution

The fourth proportional to 811.62, 1,118.48 and 590.22 is: 813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,118.48 = 590.22 : x
  2. Step 2: Convert to fraction form
    811.62/1,118.48 = 590.22/x
  3. Step 3: Cross multiply
    811.62x = 1,118.48 × 590.22
  4. Step 4: Simplify right side
    811.62x = 660,146.31
  5. Step 5: Solve for x
    x = 660,146.31/811.62
  6. Step 6: Final answer
    x = 813.37

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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.