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Finding the Fourth Proportional to 686.69, 946.73 and 593.24

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Solution

The fourth proportional to 686.69, 946.73 and 593.24 is: 817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.69 : 946.73 = 593.24 : x
  2. Step 2: Convert to fraction form
    686.69/946.73 = 593.24/x
  3. Step 3: Cross multiply
    686.69x = 946.73 × 593.24
  4. Step 4: Simplify right side
    686.69x = 561,635.14
  5. Step 5: Solve for x
    x = 561,635.14/686.69
  6. Step 6: Final answer
    x = 817.89

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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.