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Finding the Fourth Proportional to 810.09, 1,215.53 and 323.48

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Solution

The fourth proportional to 810.09, 1,215.53 and 323.48 is: 485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.09 : 1,215.53 = 323.48 : x
  2. Step 2: Convert to fraction form
    810.09/1,215.53 = 323.48/x
  3. Step 3: Cross multiply
    810.09x = 1,215.53 × 323.48
  4. Step 4: Simplify right side
    810.09x = 393,199.64
  5. Step 5: Solve for x
    x = 393,199.64/810.09
  6. Step 6: Final answer
    x = 485.38

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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.