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Finding the Fourth Proportional to 686.34, 947.09 and 424.31

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Solution

The fourth proportional to 686.34, 947.09 and 424.31 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 947.09 = 424.31 : x
  2. Step 2: Convert to fraction form
    686.34/947.09 = 424.31/x
  3. Step 3: Cross multiply
    686.34x = 947.09 × 424.31
  4. Step 4: Simplify right side
    686.34x = 401,856.08
  5. Step 5: Solve for x
    x = 401,856.08/686.34
  6. Step 6: Final answer
    x = 585.51

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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.