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Finding the Fourth Proportional to 836.70, 1,256.11 and 529.84

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Solution

The fourth proportional to 836.70, 1,256.11 and 529.84 is: 795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.70 : 1,256.11 = 529.84 : x
  2. Step 2: Convert to fraction form
    836.70/1,256.11 = 529.84/x
  3. Step 3: Cross multiply
    836.70x = 1,256.11 × 529.84
  4. Step 4: Simplify right side
    836.70x = 665,537.57
  5. Step 5: Solve for x
    x = 665,537.57/836.70
  6. Step 6: Final answer
    x = 795.44

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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.