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Finding the Fourth Proportional to 880.57, 1,320.48 and 332.38

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Solution

The fourth proportional to 880.57, 1,320.48 and 332.38 is: 498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.57 : 1,320.48 = 332.38 : x
  2. Step 2: Convert to fraction form
    880.57/1,320.48 = 332.38/x
  3. Step 3: Cross multiply
    880.57x = 1,320.48 × 332.38
  4. Step 4: Simplify right side
    880.57x = 438,901.14
  5. Step 5: Solve for x
    x = 438,901.14/880.57
  6. Step 6: Final answer
    x = 498.43

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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.