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Finding the Fourth Proportional to 707.45, 1,058.42 and 620.12

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Solution

The fourth proportional to 707.45, 1,058.42 and 620.12 is: 927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.45 : 1,058.42 = 620.12 : x
  2. Step 2: Convert to fraction form
    707.45/1,058.42 = 620.12/x
  3. Step 3: Cross multiply
    707.45x = 1,058.42 × 620.12
  4. Step 4: Simplify right side
    707.45x = 656,351.61
  5. Step 5: Solve for x
    x = 656,351.61/707.45
  6. Step 6: Final answer
    x = 927.78

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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.