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Finding the Fourth Proportional to 836.83, 1,256.06 and 548.47

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Solution

The fourth proportional to 836.83, 1,256.06 and 548.47 is: 823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.83 : 1,256.06 = 548.47 : x
  2. Step 2: Convert to fraction form
    836.83/1,256.06 = 548.47/x
  3. Step 3: Cross multiply
    836.83x = 1,256.06 × 548.47
  4. Step 4: Simplify right side
    836.83x = 688,911.23
  5. Step 5: Solve for x
    x = 688,911.23/836.83
  6. Step 6: Final answer
    x = 823.24

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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.