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Finding the Fourth Proportional to 836.66, 1,253.64 and 511.22

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Solution

The fourth proportional to 836.66, 1,253.64 and 511.22 is: 766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.66 : 1,253.64 = 511.22 : x
  2. Step 2: Convert to fraction form
    836.66/1,253.64 = 511.22/x
  3. Step 3: Cross multiply
    836.66x = 1,253.64 × 511.22
  4. Step 4: Simplify right side
    836.66x = 640,885.84
  5. Step 5: Solve for x
    x = 640,885.84/836.66
  6. Step 6: Final answer
    x = 766.01

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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.