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Finding the Fourth Proportional to 836.56, 1,254.80 and 349.44

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Solution

The fourth proportional to 836.56, 1,254.80 and 349.44 is: 524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.56 : 1,254.80 = 349.44 : x
  2. Step 2: Convert to fraction form
    836.56/1,254.80 = 349.44/x
  3. Step 3: Cross multiply
    836.56x = 1,254.80 × 349.44
  4. Step 4: Simplify right side
    836.56x = 438,477.31
  5. Step 5: Solve for x
    x = 438,477.31/836.56
  6. Step 6: Final answer
    x = 524.14

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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.