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Finding the Fourth Proportional to 651.49, 976.46 and 338.17

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Solution

The fourth proportional to 651.49, 976.46 and 338.17 is: 506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.49 : 976.46 = 338.17 : x
  2. Step 2: Convert to fraction form
    651.49/976.46 = 338.17/x
  3. Step 3: Cross multiply
    651.49x = 976.46 × 338.17
  4. Step 4: Simplify right side
    651.49x = 330,213.26
  5. Step 5: Solve for x
    x = 330,213.26/651.49
  6. Step 6: Final answer
    x = 506.86

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.