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Finding the Fourth Proportional to 836.42, 1,154.78 and 537.80

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Solution

The fourth proportional to 836.42, 1,154.78 and 537.80 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.42 : 1,154.78 = 537.80 : x
  2. Step 2: Convert to fraction form
    836.42/1,154.78 = 537.80/x
  3. Step 3: Cross multiply
    836.42x = 1,154.78 × 537.80
  4. Step 4: Simplify right side
    836.42x = 621,032.22
  5. Step 5: Solve for x
    x = 621,032.22/836.42
  6. Step 6: Final answer
    x = 742.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.