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Finding the Fourth Proportional to 686.91, 947.59 and 437.97

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Solution

The fourth proportional to 686.91, 947.59 and 437.97 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.91 : 947.59 = 437.97 : x
  2. Step 2: Convert to fraction form
    686.91/947.59 = 437.97/x
  3. Step 3: Cross multiply
    686.91x = 947.59 × 437.97
  4. Step 4: Simplify right side
    686.91x = 415,013.84
  5. Step 5: Solve for x
    x = 415,013.84/686.91
  6. Step 6: Final answer
    x = 604.17

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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.