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Finding the Fourth Proportional to 686.61, 947.42 and 438.14

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Solution

The fourth proportional to 686.61, 947.42 and 438.14 is: 604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.61 : 947.42 = 438.14 : x
  2. Step 2: Convert to fraction form
    686.61/947.42 = 438.14/x
  3. Step 3: Cross multiply
    686.61x = 947.42 × 438.14
  4. Step 4: Simplify right side
    686.61x = 415,095.67
  5. Step 5: Solve for x
    x = 415,095.67/686.61
  6. Step 6: Final answer
    x = 604.56

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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.