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Finding the Fourth Proportional to 649.48, 974.55 and 284.22

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Solution

The fourth proportional to 649.48, 974.55 and 284.22 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.48 : 974.55 = 284.22 : x
  2. Step 2: Convert to fraction form
    649.48/974.55 = 284.22/x
  3. Step 3: Cross multiply
    649.48x = 974.55 × 284.22
  4. Step 4: Simplify right side
    649.48x = 276,986.60
  5. Step 5: Solve for x
    x = 276,986.60/649.48
  6. Step 6: Final answer
    x = 426.47

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.