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Finding the Fourth Proportional to 880.50, 1,214.82 and 611.40

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Solution

The fourth proportional to 880.50, 1,214.82 and 611.40 is: 843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.50 : 1,214.82 = 611.40 : x
  2. Step 2: Convert to fraction form
    880.50/1,214.82 = 611.40/x
  3. Step 3: Cross multiply
    880.50x = 1,214.82 × 611.40
  4. Step 4: Simplify right side
    880.50x = 742,740.95
  5. Step 5: Solve for x
    x = 742,740.95/880.50
  6. Step 6: Final answer
    x = 843.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.