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Finding the Fourth Proportional to 686.39, 946.76 and 490.14

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Solution

The fourth proportional to 686.39, 946.76 and 490.14 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.39 : 946.76 = 490.14 : x
  2. Step 2: Convert to fraction form
    686.39/946.76 = 490.14/x
  3. Step 3: Cross multiply
    686.39x = 946.76 × 490.14
  4. Step 4: Simplify right side
    686.39x = 464,042.50
  5. Step 5: Solve for x
    x = 464,042.50/686.39
  6. Step 6: Final answer
    x = 676.07

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.