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Finding the Fourth Proportional to 549.66, 823.95 and 305.69

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Solution

The fourth proportional to 549.66, 823.95 and 305.69 is: 458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 823.95 = 305.69 : x
  2. Step 2: Convert to fraction form
    549.66/823.95 = 305.69/x
  3. Step 3: Cross multiply
    549.66x = 823.95 × 305.69
  4. Step 4: Simplify right side
    549.66x = 251,869.16
  5. Step 5: Solve for x
    x = 251,869.16/549.66
  6. Step 6: Final answer
    x = 458.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.