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Finding the Fourth Proportional to 802, 1,203.24 and 289.20

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Solution

The fourth proportional to 802, 1,203.24 and 289.20 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,203.24 = 289.20 : x
  2. Step 2: Convert to fraction form
    802/1,203.24 = 289.20/x
  3. Step 3: Cross multiply
    802x = 1,203.24 × 289.20
  4. Step 4: Simplify right side
    802x = 347,977.01
  5. Step 5: Solve for x
    x = 347,977.01/802
  6. Step 6: Final answer
    x = 433.89

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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.