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Finding the Fourth Proportional to 686.44, 947.14 and 424.36

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Solution

The fourth proportional to 686.44, 947.14 and 424.36 is: 585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.44 : 947.14 = 424.36 : x
  2. Step 2: Convert to fraction form
    686.44/947.14 = 424.36/x
  3. Step 3: Cross multiply
    686.44x = 947.14 × 424.36
  4. Step 4: Simplify right side
    686.44x = 401,928.33
  5. Step 5: Solve for x
    x = 401,928.33/686.44
  6. Step 6: Final answer
    x = 585.53

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Double scale
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1.5x scale

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.