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Finding the Fourth Proportional to 631.24, 946.90 and 284.50

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Solution

The fourth proportional to 631.24, 946.90 and 284.50 is: 426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.24 : 946.90 = 284.50 : x
  2. Step 2: Convert to fraction form
    631.24/946.90 = 284.50/x
  3. Step 3: Cross multiply
    631.24x = 946.90 × 284.50
  4. Step 4: Simplify right side
    631.24x = 269,393.05
  5. Step 5: Solve for x
    x = 269,393.05/631.24
  6. Step 6: Final answer
    x = 426.77

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Double scale
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Similar ratio
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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.