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Finding the Fourth Proportional to 549.07, 817.82 and 537.68

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Solution

The fourth proportional to 549.07, 817.82 and 537.68 is: 800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.07 : 817.82 = 537.68 : x
  2. Step 2: Convert to fraction form
    549.07/817.82 = 537.68/x
  3. Step 3: Cross multiply
    549.07x = 817.82 × 537.68
  4. Step 4: Simplify right side
    549.07x = 439,725.46
  5. Step 5: Solve for x
    x = 439,725.46/549.07
  6. Step 6: Final answer
    x = 800.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.