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Finding the Fourth Proportional to 707.39, 976.20 and 396.89

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Solution

The fourth proportional to 707.39, 976.20 and 396.89 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.39 : 976.20 = 396.89 : x
  2. Step 2: Convert to fraction form
    707.39/976.20 = 396.89/x
  3. Step 3: Cross multiply
    707.39x = 976.20 × 396.89
  4. Step 4: Simplify right side
    707.39x = 387,444.63
  5. Step 5: Solve for x
    x = 387,444.63/707.39
  6. Step 6: Final answer
    x = 547.71

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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.