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Finding the Fourth Proportional to 880.10, 1,320.53 and 418.20

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Solution

The fourth proportional to 880.10, 1,320.53 and 418.20 is: 627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.10 : 1,320.53 = 418.20 : x
  2. Step 2: Convert to fraction form
    880.10/1,320.53 = 418.20/x
  3. Step 3: Cross multiply
    880.10x = 1,320.53 × 418.20
  4. Step 4: Simplify right side
    880.10x = 552,245.65
  5. Step 5: Solve for x
    x = 552,245.65/880.10
  6. Step 6: Final answer
    x = 627.48

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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.