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Finding the Fourth Proportional to 839.45, 1,259.24 and 223.18

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Solution

The fourth proportional to 839.45, 1,259.24 and 223.18 is: 334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.45 : 1,259.24 = 223.18 : x
  2. Step 2: Convert to fraction form
    839.45/1,259.24 = 223.18/x
  3. Step 3: Cross multiply
    839.45x = 1,259.24 × 223.18
  4. Step 4: Simplify right side
    839.45x = 281,032.92
  5. Step 5: Solve for x
    x = 281,032.92/839.45
  6. Step 6: Final answer
    x = 334.78

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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.