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Finding the Fourth Proportional to 631.10, 946.80 and 322.94

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Solution

The fourth proportional to 631.10, 946.80 and 322.94 is: 484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.10 : 946.80 = 322.94 : x
  2. Step 2: Convert to fraction form
    631.10/946.80 = 322.94/x
  3. Step 3: Cross multiply
    631.10x = 946.80 × 322.94
  4. Step 4: Simplify right side
    631.10x = 305,761.96
  5. Step 5: Solve for x
    x = 305,761.96/631.10
  6. Step 6: Final answer
    x = 484.49

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Half scale
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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.