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Finding the Fourth Proportional to 880.08, 1,320.35 and 332.42

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Solution

The fourth proportional to 880.08, 1,320.35 and 332.42 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.08 : 1,320.35 = 332.42 : x
  2. Step 2: Convert to fraction form
    880.08/1,320.35 = 332.42/x
  3. Step 3: Cross multiply
    880.08x = 1,320.35 × 332.42
  4. Step 4: Simplify right side
    880.08x = 438,910.75
  5. Step 5: Solve for x
    x = 438,910.75/880.08
  6. Step 6: Final answer
    x = 498.72

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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.