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Finding the Fourth Proportional to 883.42, 1,323.99 and 362.84

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Solution

The fourth proportional to 883.42, 1,323.99 and 362.84 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.42 : 1,323.99 = 362.84 : x
  2. Step 2: Convert to fraction form
    883.42/1,323.99 = 362.84/x
  3. Step 3: Cross multiply
    883.42x = 1,323.99 × 362.84
  4. Step 4: Simplify right side
    883.42x = 480,389.91
  5. Step 5: Solve for x
    x = 480,389.91/883.42
  6. Step 6: Final answer
    x = 543.78

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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.