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Finding the Fourth Proportional to 810.20, 1,214.26 and 664.07

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Solution

The fourth proportional to 810.20, 1,214.26 and 664.07 is: 995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.20 : 1,214.26 = 664.07 : x
  2. Step 2: Convert to fraction form
    810.20/1,214.26 = 664.07/x
  3. Step 3: Cross multiply
    810.20x = 1,214.26 × 664.07
  4. Step 4: Simplify right side
    810.20x = 806,345.91
  5. Step 5: Solve for x
    x = 806,345.91/810.20
  6. Step 6: Final answer
    x = 995.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.