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Finding the Fourth Proportional to 810.37, 1,214.61 and 323.56

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Solution

The fourth proportional to 810.37, 1,214.61 and 323.56 is: 484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.37 : 1,214.61 = 323.56 : x
  2. Step 2: Convert to fraction form
    810.37/1,214.61 = 323.56/x
  3. Step 3: Cross multiply
    810.37x = 1,214.61 × 323.56
  4. Step 4: Simplify right side
    810.37x = 392,999.21
  5. Step 5: Solve for x
    x = 392,999.21/810.37
  6. Step 6: Final answer
    x = 484.96

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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.