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Finding the Fourth Proportional to 873.12, 1,311.56 and 548.72

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Solution

The fourth proportional to 873.12, 1,311.56 and 548.72 is: 824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,311.56 = 548.72 : x
  2. Step 2: Convert to fraction form
    873.12/1,311.56 = 548.72/x
  3. Step 3: Cross multiply
    873.12x = 1,311.56 × 548.72
  4. Step 4: Simplify right side
    873.12x = 719,669.90
  5. Step 5: Solve for x
    x = 719,669.90/873.12
  6. Step 6: Final answer
    x = 824.25

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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.