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Finding the Fourth Proportional to 649.35, 974.16 and 284.18

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Solution

The fourth proportional to 649.35, 974.16 and 284.18 is: 426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 974.16 = 284.18 : x
  2. Step 2: Convert to fraction form
    649.35/974.16 = 284.18/x
  3. Step 3: Cross multiply
    649.35x = 974.16 × 284.18
  4. Step 4: Simplify right side
    649.35x = 276,831.92
  5. Step 5: Solve for x
    x = 276,831.92/649.35
  6. Step 6: Final answer
    x = 426.32

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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.