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Finding the Fourth Proportional to 836.11, 1,254.57 and 511.30

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Solution

The fourth proportional to 836.11, 1,254.57 and 511.30 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.11 : 1,254.57 = 511.30 : x
  2. Step 2: Convert to fraction form
    836.11/1,254.57 = 511.30/x
  3. Step 3: Cross multiply
    836.11x = 1,254.57 × 511.30
  4. Step 4: Simplify right side
    836.11x = 641,461.64
  5. Step 5: Solve for x
    x = 641,461.64/836.11
  6. Step 6: Final answer
    x = 767.20

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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.