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Finding the Fourth Proportional to 880.78, 1,216 and 615.10

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Solution

The fourth proportional to 880.78, 1,216 and 615.10 is: 849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.78 : 1,216 = 615.10 : x
  2. Step 2: Convert to fraction form
    880.78/1,216 = 615.10/x
  3. Step 3: Cross multiply
    880.78x = 1,216 × 615.10
  4. Step 4: Simplify right side
    880.78x = 747,961.60
  5. Step 5: Solve for x
    x = 747,961.60/880.78
  6. Step 6: Final answer
    x = 849.20

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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.