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Finding the Fourth Proportional to 837.78, 1,256.64 and 549.42

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Solution

The fourth proportional to 837.78, 1,256.64 and 549.42 is: 824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.78 : 1,256.64 = 549.42 : x
  2. Step 2: Convert to fraction form
    837.78/1,256.64 = 549.42/x
  3. Step 3: Cross multiply
    837.78x = 1,256.64 × 549.42
  4. Step 4: Simplify right side
    837.78x = 690,423.15
  5. Step 5: Solve for x
    x = 690,423.15/837.78
  6. Step 6: Final answer
    x = 824.11

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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.