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Finding the Fourth Proportional to 873.64, 1,311.24 and 411.68

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Solution

The fourth proportional to 873.64, 1,311.24 and 411.68 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,311.24 = 411.68 : x
  2. Step 2: Convert to fraction form
    873.64/1,311.24 = 411.68/x
  3. Step 3: Cross multiply
    873.64x = 1,311.24 × 411.68
  4. Step 4: Simplify right side
    873.64x = 539,811.28
  5. Step 5: Solve for x
    x = 539,811.28/873.64
  6. Step 6: Final answer
    x = 617.89

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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.