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Finding the Fourth Proportional to 903.22, 1,347.41 and 834.38

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Solution

The fourth proportional to 903.22, 1,347.41 and 834.38 is: 1,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.22 : 1,347.41 = 834.38 : x
  2. Step 2: Convert to fraction form
    903.22/1,347.41 = 834.38/x
  3. Step 3: Cross multiply
    903.22x = 1,347.41 × 834.38
  4. Step 4: Simplify right side
    903.22x = 1,124,251.96
  5. Step 5: Solve for x
    x = 1,124,251.96/903.22
  6. Step 6: Final answer
    x = 1,244.72

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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.