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Finding the Fourth Proportional to 649.94, 975.10 and 217.14

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Solution

The fourth proportional to 649.94, 975.10 and 217.14 is: 325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.94 : 975.10 = 217.14 : x
  2. Step 2: Convert to fraction form
    649.94/975.10 = 217.14/x
  3. Step 3: Cross multiply
    649.94x = 975.10 × 217.14
  4. Step 4: Simplify right side
    649.94x = 211,733.21
  5. Step 5: Solve for x
    x = 211,733.21/649.94
  6. Step 6: Final answer
    x = 325.77

Related Problems

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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.