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Finding the Fourth Proportional to 892.16, 1,335.68 and 549.12

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Solution

The fourth proportional to 892.16, 1,335.68 and 549.12 is: 822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.16 : 1,335.68 = 549.12 : x
  2. Step 2: Convert to fraction form
    892.16/1,335.68 = 549.12/x
  3. Step 3: Cross multiply
    892.16x = 1,335.68 × 549.12
  4. Step 4: Simplify right side
    892.16x = 733,448.60
  5. Step 5: Solve for x
    x = 733,448.60/892.16
  6. Step 6: Final answer
    x = 822.10

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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.