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Finding the Fourth Proportional to 686.35, 945.97 and 465.22

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Solution

The fourth proportional to 686.35, 945.97 and 465.22 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.35 : 945.97 = 465.22 : x
  2. Step 2: Convert to fraction form
    686.35/945.97 = 465.22/x
  3. Step 3: Cross multiply
    686.35x = 945.97 × 465.22
  4. Step 4: Simplify right side
    686.35x = 440,084.16
  5. Step 5: Solve for x
    x = 440,084.16/686.35
  6. Step 6: Final answer
    x = 641.19

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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.