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Finding the Fourth Proportional to 884.88, 1,328.13 and 678.78

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Solution

The fourth proportional to 884.88, 1,328.13 and 678.78 is: 1,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.88 : 1,328.13 = 678.78 : x
  2. Step 2: Convert to fraction form
    884.88/1,328.13 = 678.78/x
  3. Step 3: Cross multiply
    884.88x = 1,328.13 × 678.78
  4. Step 4: Simplify right side
    884.88x = 901,508.08
  5. Step 5: Solve for x
    x = 901,508.08/884.88
  6. Step 6: Final answer
    x = 1,018.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.