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Finding the Fourth Proportional to 611.82, 912.53 and 549.86

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Solution

The fourth proportional to 611.82, 912.53 and 549.86 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.82 : 912.53 = 549.86 : x
  2. Step 2: Convert to fraction form
    611.82/912.53 = 549.86/x
  3. Step 3: Cross multiply
    611.82x = 912.53 × 549.86
  4. Step 4: Simplify right side
    611.82x = 501,760.56
  5. Step 5: Solve for x
    x = 501,760.56/611.82
  6. Step 6: Final answer
    x = 820.11

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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.