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Finding the Fourth Proportional to 836.41, 1,259.24 and 734.35

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Solution

The fourth proportional to 836.41, 1,259.24 and 734.35 is: 1,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.41 : 1,259.24 = 734.35 : x
  2. Step 2: Convert to fraction form
    836.41/1,259.24 = 734.35/x
  3. Step 3: Cross multiply
    836.41x = 1,259.24 × 734.35
  4. Step 4: Simplify right side
    836.41x = 924,722.89
  5. Step 5: Solve for x
    x = 924,722.89/836.41
  6. Step 6: Final answer
    x = 1,105.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.