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Finding the Fourth Proportional to 767.22, 1,058.61 and 472.43

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Solution

The fourth proportional to 767.22, 1,058.61 and 472.43 is: 651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.22 : 1,058.61 = 472.43 : x
  2. Step 2: Convert to fraction form
    767.22/1,058.61 = 472.43/x
  3. Step 3: Cross multiply
    767.22x = 1,058.61 × 472.43
  4. Step 4: Simplify right side
    767.22x = 500,120.22
  5. Step 5: Solve for x
    x = 500,120.22/767.22
  6. Step 6: Final answer
    x = 651.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.