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Finding the Fourth Proportional to 1,469.51, 2,204.27 and 429.53

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Solution

The fourth proportional to 1,469.51, 2,204.27 and 429.53 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.51 : 2,204.27 = 429.53 : x
  2. Step 2: Convert to fraction form
    1,469.51/2,204.27 = 429.53/x
  3. Step 3: Cross multiply
    1,469.51x = 2,204.27 × 429.53
  4. Step 4: Simplify right side
    1,469.51x = 946,797.95
  5. Step 5: Solve for x
    x = 946,797.95/1,469.51
  6. Step 6: Final answer
    x = 644.30

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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.