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Finding the Fourth Proportional to 903.58, 1,348.89 and 863.69

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Solution

The fourth proportional to 903.58, 1,348.89 and 863.69 is: 1,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.58 : 1,348.89 = 863.69 : x
  2. Step 2: Convert to fraction form
    903.58/1,348.89 = 863.69/x
  3. Step 3: Cross multiply
    903.58x = 1,348.89 × 863.69
  4. Step 4: Simplify right side
    903.58x = 1,165,017.68
  5. Step 5: Solve for x
    x = 1,165,017.68/903.58
  6. Step 6: Final answer
    x = 1,289.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.