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Finding the Fourth Proportional to 880.90, 1,214.96 and 615.25

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Solution

The fourth proportional to 880.90, 1,214.96 and 615.25 is: 848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.90 : 1,214.96 = 615.25 : x
  2. Step 2: Convert to fraction form
    880.90/1,214.96 = 615.25/x
  3. Step 3: Cross multiply
    880.90x = 1,214.96 × 615.25
  4. Step 4: Simplify right side
    880.90x = 747,502.58
  5. Step 5: Solve for x
    x = 747,502.58/880.90
  6. Step 6: Final answer
    x = 848.57

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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.