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Finding the Fourth Proportional to 873.57, 1,311.02 and 462.80

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Solution

The fourth proportional to 873.57, 1,311.02 and 462.80 is: 694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.57 : 1,311.02 = 462.80 : x
  2. Step 2: Convert to fraction form
    873.57/1,311.02 = 462.80/x
  3. Step 3: Cross multiply
    873.57x = 1,311.02 × 462.80
  4. Step 4: Simplify right side
    873.57x = 606,731.19
  5. Step 5: Solve for x
    x = 606,731.19/873.57
  6. Step 6: Final answer
    x = 694.54

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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.