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Finding the Fourth Proportional to 549.16, 824.14 and 442.24

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Solution

The fourth proportional to 549.16, 824.14 and 442.24 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 824.14 = 442.24 : x
  2. Step 2: Convert to fraction form
    549.16/824.14 = 442.24/x
  3. Step 3: Cross multiply
    549.16x = 824.14 × 442.24
  4. Step 4: Simplify right side
    549.16x = 364,467.67
  5. Step 5: Solve for x
    x = 364,467.67/549.16
  6. Step 6: Final answer
    x = 663.68

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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.