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Finding the Fourth Proportional to 631.96, 946.90 and 385.23

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Solution

The fourth proportional to 631.96, 946.90 and 385.23 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.96 : 946.90 = 385.23 : x
  2. Step 2: Convert to fraction form
    631.96/946.90 = 385.23/x
  3. Step 3: Cross multiply
    631.96x = 946.90 × 385.23
  4. Step 4: Simplify right side
    631.96x = 364,770.96
  5. Step 5: Solve for x
    x = 364,770.96/631.96
  6. Step 6: Final answer
    x = 577.21

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Double scale
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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.