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Finding the Fourth Proportional to 880.43, 1,319.50 and 359.84

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Solution

The fourth proportional to 880.43, 1,319.50 and 359.84 is: 539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.43 : 1,319.50 = 359.84 : x
  2. Step 2: Convert to fraction form
    880.43/1,319.50 = 359.84/x
  3. Step 3: Cross multiply
    880.43x = 1,319.50 × 359.84
  4. Step 4: Simplify right side
    880.43x = 474,805.21
  5. Step 5: Solve for x
    x = 474,805.21/880.43
  6. Step 6: Final answer
    x = 539.29

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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.