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Finding the Fourth Proportional to 649.44, 973.20 and 284.16

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Solution

The fourth proportional to 649.44, 973.20 and 284.16 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 973.20 = 284.16 : x
  2. Step 2: Convert to fraction form
    649.44/973.20 = 284.16/x
  3. Step 3: Cross multiply
    649.44x = 973.20 × 284.16
  4. Step 4: Simplify right side
    649.44x = 276,544.51
  5. Step 5: Solve for x
    x = 276,544.51/649.44
  6. Step 6: Final answer
    x = 425.82

Related Problems

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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.