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Finding the Fourth Proportional to 836.40, 1,254.28 and 397.48

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Solution

The fourth proportional to 836.40, 1,254.28 and 397.48 is: 596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.40 : 1,254.28 = 397.48 : x
  2. Step 2: Convert to fraction form
    836.40/1,254.28 = 397.48/x
  3. Step 3: Cross multiply
    836.40x = 1,254.28 × 397.48
  4. Step 4: Simplify right side
    836.40x = 498,551.21
  5. Step 5: Solve for x
    x = 498,551.21/836.40
  6. Step 6: Final answer
    x = 596.07

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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.