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Finding the Fourth Proportional to 888.30, 1,224.54 and 678.11

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Solution

The fourth proportional to 888.30, 1,224.54 and 678.11 is: 934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.30 : 1,224.54 = 678.11 : x
  2. Step 2: Convert to fraction form
    888.30/1,224.54 = 678.11/x
  3. Step 3: Cross multiply
    888.30x = 1,224.54 × 678.11
  4. Step 4: Simplify right side
    888.30x = 830,366.70
  5. Step 5: Solve for x
    x = 830,366.70/888.30
  6. Step 6: Final answer
    x = 934.78

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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.