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Finding the Fourth Proportional to 810.76, 1,215.96 and 323.68

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Solution

The fourth proportional to 810.76, 1,215.96 and 323.68 is: 485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.76 : 1,215.96 = 323.68 : x
  2. Step 2: Convert to fraction form
    810.76/1,215.96 = 323.68/x
  3. Step 3: Cross multiply
    810.76x = 1,215.96 × 323.68
  4. Step 4: Simplify right side
    810.76x = 393,581.93
  5. Step 5: Solve for x
    x = 393,581.93/810.76
  6. Step 6: Final answer
    x = 485.45

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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.