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Finding the Fourth Proportional to 836.24, 1,252.56 and 402.08

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Solution

The fourth proportional to 836.24, 1,252.56 and 402.08 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.24 : 1,252.56 = 402.08 : x
  2. Step 2: Convert to fraction form
    836.24/1,252.56 = 402.08/x
  3. Step 3: Cross multiply
    836.24x = 1,252.56 × 402.08
  4. Step 4: Simplify right side
    836.24x = 503,629.32
  5. Step 5: Solve for x
    x = 503,629.32/836.24
  6. Step 6: Final answer
    x = 602.25

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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.