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Finding the Fourth Proportional to 810.28, 1,214.56 and 376.96

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Solution

The fourth proportional to 810.28, 1,214.56 and 376.96 is: 565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.28 : 1,214.56 = 376.96 : x
  2. Step 2: Convert to fraction form
    810.28/1,214.56 = 376.96/x
  3. Step 3: Cross multiply
    810.28x = 1,214.56 × 376.96
  4. Step 4: Simplify right side
    810.28x = 457,840.54
  5. Step 5: Solve for x
    x = 457,840.54/810.28
  6. Step 6: Final answer
    x = 565.04

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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.