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Finding the Fourth Proportional to 686.70, 945.75 and 593.42

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Solution

The fourth proportional to 686.70, 945.75 and 593.42 is: 817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.70 : 945.75 = 593.42 : x
  2. Step 2: Convert to fraction form
    686.70/945.75 = 593.42/x
  3. Step 3: Cross multiply
    686.70x = 945.75 × 593.42
  4. Step 4: Simplify right side
    686.70x = 561,226.97
  5. Step 5: Solve for x
    x = 561,226.97/686.70
  6. Step 6: Final answer
    x = 817.28

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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.