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Finding the Fourth Proportional to 889.92, 1,228.32 and 694.80

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Solution

The fourth proportional to 889.92, 1,228.32 and 694.80 is: 959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,228.32 = 694.80 : x
  2. Step 2: Convert to fraction form
    889.92/1,228.32 = 694.80/x
  3. Step 3: Cross multiply
    889.92x = 1,228.32 × 694.80
  4. Step 4: Simplify right side
    889.92x = 853,436.74
  5. Step 5: Solve for x
    x = 853,436.74/889.92
  6. Step 6: Final answer
    x = 959.00

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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.