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Finding the Fourth Proportional to 880.34, 1,319.78 and 332.43

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Solution

The fourth proportional to 880.34, 1,319.78 and 332.43 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.34 : 1,319.78 = 332.43 : x
  2. Step 2: Convert to fraction form
    880.34/1,319.78 = 332.43/x
  3. Step 3: Cross multiply
    880.34x = 1,319.78 × 332.43
  4. Step 4: Simplify right side
    880.34x = 438,732.80
  5. Step 5: Solve for x
    x = 438,732.80/880.34
  6. Step 6: Final answer
    x = 498.37

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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.