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Finding the Fourth Proportional to 873.94, 1,311.55 and 441.13

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Solution

The fourth proportional to 873.94, 1,311.55 and 441.13 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.94 : 1,311.55 = 441.13 : x
  2. Step 2: Convert to fraction form
    873.94/1,311.55 = 441.13/x
  3. Step 3: Cross multiply
    873.94x = 1,311.55 × 441.13
  4. Step 4: Simplify right side
    873.94x = 578,564.05
  5. Step 5: Solve for x
    x = 578,564.05/873.94
  6. Step 6: Final answer
    x = 662.02

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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.