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Finding the Fourth Proportional to 880.20, 1,319.10 and 490.38

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Solution

The fourth proportional to 880.20, 1,319.10 and 490.38 is: 734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.20 : 1,319.10 = 490.38 : x
  2. Step 2: Convert to fraction form
    880.20/1,319.10 = 490.38/x
  3. Step 3: Cross multiply
    880.20x = 1,319.10 × 490.38
  4. Step 4: Simplify right side
    880.20x = 646,860.26
  5. Step 5: Solve for x
    x = 646,860.26/880.20
  6. Step 6: Final answer
    x = 734.90

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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.