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Finding the Fourth Proportional to 810.22, 1,214.61 and 377.14

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Solution

The fourth proportional to 810.22, 1,214.61 and 377.14 is: 565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.22 : 1,214.61 = 377.14 : x
  2. Step 2: Convert to fraction form
    810.22/1,214.61 = 377.14/x
  3. Step 3: Cross multiply
    810.22x = 1,214.61 × 377.14
  4. Step 4: Simplify right side
    810.22x = 458,078.02
  5. Step 5: Solve for x
    x = 458,078.02/810.22
  6. Step 6: Final answer
    x = 565.37

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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.