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Finding the Fourth Proportional to 649.93, 974.58 and 216.94

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Solution

The fourth proportional to 649.93, 974.58 and 216.94 is: 325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.93 : 974.58 = 216.94 : x
  2. Step 2: Convert to fraction form
    649.93/974.58 = 216.94/x
  3. Step 3: Cross multiply
    649.93x = 974.58 × 216.94
  4. Step 4: Simplify right side
    649.93x = 211,422.14
  5. Step 5: Solve for x
    x = 211,422.14/649.93
  6. Step 6: Final answer
    x = 325.30

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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.