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Finding the Fourth Proportional to 649.99, 974.95 and 284.78

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Solution

The fourth proportional to 649.99, 974.95 and 284.78 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 974.95 = 284.78 : x
  2. Step 2: Convert to fraction form
    649.99/974.95 = 284.78/x
  3. Step 3: Cross multiply
    649.99x = 974.95 × 284.78
  4. Step 4: Simplify right side
    649.99x = 277,644.33
  5. Step 5: Solve for x
    x = 277,644.33/649.99
  6. Step 6: Final answer
    x = 427.15

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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.