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Finding the Fourth Proportional to 836.55, 1,253.73 and 397.23

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Solution

The fourth proportional to 836.55, 1,253.73 and 397.23 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.55 : 1,253.73 = 397.23 : x
  2. Step 2: Convert to fraction form
    836.55/1,253.73 = 397.23/x
  3. Step 3: Cross multiply
    836.55x = 1,253.73 × 397.23
  4. Step 4: Simplify right side
    836.55x = 498,019.17
  5. Step 5: Solve for x
    x = 498,019.17/836.55
  6. Step 6: Final answer
    x = 595.33

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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.