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Finding the Fourth Proportional to 817.65, 1,223.39 and 487.37

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Solution

The fourth proportional to 817.65, 1,223.39 and 487.37 is: 729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.65 : 1,223.39 = 487.37 : x
  2. Step 2: Convert to fraction form
    817.65/1,223.39 = 487.37/x
  3. Step 3: Cross multiply
    817.65x = 1,223.39 × 487.37
  4. Step 4: Simplify right side
    817.65x = 596,247.86
  5. Step 5: Solve for x
    x = 596,247.86/817.65
  6. Step 6: Final answer
    x = 729.22

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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.