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Finding the Fourth Proportional to 743.27, 1,114.70 and 223.13

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Solution

The fourth proportional to 743.27, 1,114.70 and 223.13 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.27 : 1,114.70 = 223.13 : x
  2. Step 2: Convert to fraction form
    743.27/1,114.70 = 223.13/x
  3. Step 3: Cross multiply
    743.27x = 1,114.70 × 223.13
  4. Step 4: Simplify right side
    743.27x = 248,716.32
  5. Step 5: Solve for x
    x = 248,716.32/743.27
  6. Step 6: Final answer
    x = 334.63

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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.