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Finding the Fourth Proportional to 883.68, 1,320.44 and 674.30

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Solution

The fourth proportional to 883.68, 1,320.44 and 674.30 is: 1,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.68 : 1,320.44 = 674.30 : x
  2. Step 2: Convert to fraction form
    883.68/1,320.44 = 674.30/x
  3. Step 3: Cross multiply
    883.68x = 1,320.44 × 674.30
  4. Step 4: Simplify right side
    883.68x = 890,372.69
  5. Step 5: Solve for x
    x = 890,372.69/883.68
  6. Step 6: Final answer
    x = 1,007.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.