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Finding the Fourth Proportional to 649.97, 974.99 and 284.75

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Solution

The fourth proportional to 649.97, 974.99 and 284.75 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 974.99 = 284.75 : x
  2. Step 2: Convert to fraction form
    649.97/974.99 = 284.75/x
  3. Step 3: Cross multiply
    649.97x = 974.99 × 284.75
  4. Step 4: Simplify right side
    649.97x = 277,628.40
  5. Step 5: Solve for x
    x = 277,628.40/649.97
  6. Step 6: Final answer
    x = 427.14

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