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Finding the Fourth Proportional to 836.73, 1,253.52 and 446.16

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Solution

The fourth proportional to 836.73, 1,253.52 and 446.16 is: 668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,253.52 = 446.16 : x
  2. Step 2: Convert to fraction form
    836.73/1,253.52 = 446.16/x
  3. Step 3: Cross multiply
    836.73x = 1,253.52 × 446.16
  4. Step 4: Simplify right side
    836.73x = 559,270.48
  5. Step 5: Solve for x
    x = 559,270.48/836.73
  6. Step 6: Final answer
    x = 668.40

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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.