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Finding the Fourth Proportional to 1,512.70, 2,269.04 and 417.22

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Solution

The fourth proportional to 1,512.70, 2,269.04 and 417.22 is: 625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.70 : 2,269.04 = 417.22 : x
  2. Step 2: Convert to fraction form
    1,512.70/2,269.04 = 417.22/x
  3. Step 3: Cross multiply
    1,512.70x = 2,269.04 × 417.22
  4. Step 4: Simplify right side
    1,512.70x = 946,675.44
  5. Step 5: Solve for x
    x = 946,675.44/1,512.70
  6. Step 6: Final answer
    x = 625.82

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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.