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Finding the Fourth Proportional to 649.51, 974.56 and 284.25

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Solution

The fourth proportional to 649.51, 974.56 and 284.25 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 974.56 = 284.25 : x
  2. Step 2: Convert to fraction form
    649.51/974.56 = 284.25/x
  3. Step 3: Cross multiply
    649.51x = 974.56 × 284.25
  4. Step 4: Simplify right side
    649.51x = 277,016.95
  5. Step 5: Solve for x
    x = 277,016.95/649.51
  6. Step 6: Final answer
    x = 426.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 650.51, 976.06 and 285.25
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.