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Finding the Fourth Proportional to 686.35, 946.83 and 499.75

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Solution

The fourth proportional to 686.35, 946.83 and 499.75 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.35 : 946.83 = 499.75 : x
  2. Step 2: Convert to fraction form
    686.35/946.83 = 499.75/x
  3. Step 3: Cross multiply
    686.35x = 946.83 × 499.75
  4. Step 4: Simplify right side
    686.35x = 473,178.29
  5. Step 5: Solve for x
    x = 473,178.29/686.35
  6. Step 6: Final answer
    x = 689.41

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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.