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Finding the Fourth Proportional to 614.73, 920.88 and 549.47

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Solution

The fourth proportional to 614.73, 920.88 and 549.47 is: 823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.73 : 920.88 = 549.47 : x
  2. Step 2: Convert to fraction form
    614.73/920.88 = 549.47/x
  3. Step 3: Cross multiply
    614.73x = 920.88 × 549.47
  4. Step 4: Simplify right side
    614.73x = 505,991.33
  5. Step 5: Solve for x
    x = 505,991.33/614.73
  6. Step 6: Final answer
    x = 823.11

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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.