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Finding the Fourth Proportional to 836, 1,253.70 and 397.18

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Solution

The fourth proportional to 836, 1,253.70 and 397.18 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836 : 1,253.70 = 397.18 : x
  2. Step 2: Convert to fraction form
    836/1,253.70 = 397.18/x
  3. Step 3: Cross multiply
    836x = 1,253.70 × 397.18
  4. Step 4: Simplify right side
    836x = 497,944.57
  5. Step 5: Solve for x
    x = 497,944.57/836
  6. Step 6: Final answer
    x = 595.63

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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.