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Finding the Fourth Proportional to 907.80, 1,258.61 and 889.98

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Solution

The fourth proportional to 907.80, 1,258.61 and 889.98 is: 1,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.80 : 1,258.61 = 889.98 : x
  2. Step 2: Convert to fraction form
    907.80/1,258.61 = 889.98/x
  3. Step 3: Cross multiply
    907.80x = 1,258.61 × 889.98
  4. Step 4: Simplify right side
    907.80x = 1,120,137.73
  5. Step 5: Solve for x
    x = 1,120,137.73/907.80
  6. Step 6: Final answer
    x = 1,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.