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Finding the Fourth Proportional to 880.10, 1,213.08 and 617.66

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Solution

The fourth proportional to 880.10, 1,213.08 and 617.66 is: 851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.10 : 1,213.08 = 617.66 : x
  2. Step 2: Convert to fraction form
    880.10/1,213.08 = 617.66/x
  3. Step 3: Cross multiply
    880.10x = 1,213.08 × 617.66
  4. Step 4: Simplify right side
    880.10x = 749,270.99
  5. Step 5: Solve for x
    x = 749,270.99/880.10
  6. Step 6: Final answer
    x = 851.35

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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.