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Finding the Fourth Proportional to 549.74, 823.28 and 318.15

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Solution

The fourth proportional to 549.74, 823.28 and 318.15 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.74 : 823.28 = 318.15 : x
  2. Step 2: Convert to fraction form
    549.74/823.28 = 318.15/x
  3. Step 3: Cross multiply
    549.74x = 823.28 × 318.15
  4. Step 4: Simplify right side
    549.74x = 261,924.94
  5. Step 5: Solve for x
    x = 261,924.94/549.74
  6. Step 6: Final answer
    x = 476.45

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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.