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Finding the Fourth Proportional to 996.50, 1,494.25 and 440.91

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Solution

The fourth proportional to 996.50, 1,494.25 and 440.91 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.50 : 1,494.25 = 440.91 : x
  2. Step 2: Convert to fraction form
    996.50/1,494.25 = 440.91/x
  3. Step 3: Cross multiply
    996.50x = 1,494.25 × 440.91
  4. Step 4: Simplify right side
    996.50x = 658,828.67
  5. Step 5: Solve for x
    x = 658,828.67/996.50
  6. Step 6: Final answer
    x = 661.14

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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.