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Finding the Fourth Proportional to 1,512.91, 2,270.34 and 647.23

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Solution

The fourth proportional to 1,512.91, 2,270.34 and 647.23 is: 971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.91 : 2,270.34 = 647.23 : x
  2. Step 2: Convert to fraction form
    1,512.91/2,270.34 = 647.23/x
  3. Step 3: Cross multiply
    1,512.91x = 2,270.34 × 647.23
  4. Step 4: Simplify right side
    1,512.91x = 1,469,432.16
  5. Step 5: Solve for x
    x = 1,469,432.16/1,512.91
  6. Step 6: Final answer
    x = 971.26

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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.