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Finding the Fourth Proportional to 631.46, 947.70 and 306.83

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Solution

The fourth proportional to 631.46, 947.70 and 306.83 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.46 : 947.70 = 306.83 : x
  2. Step 2: Convert to fraction form
    631.46/947.70 = 306.83/x
  3. Step 3: Cross multiply
    631.46x = 947.70 × 306.83
  4. Step 4: Simplify right side
    631.46x = 290,778.05
  5. Step 5: Solve for x
    x = 290,778.05/631.46
  6. Step 6: Final answer
    x = 460.49

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.