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Finding the Fourth Proportional to 881.70, 1,217.34 and 788.15

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Solution

The fourth proportional to 881.70, 1,217.34 and 788.15 is: 1,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,217.34 = 788.15 : x
  2. Step 2: Convert to fraction form
    881.70/1,217.34 = 788.15/x
  3. Step 3: Cross multiply
    881.70x = 1,217.34 × 788.15
  4. Step 4: Simplify right side
    881.70x = 959,440.43
  5. Step 5: Solve for x
    x = 959,440.43/881.70
  6. Step 6: Final answer
    x = 1,088.17

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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.