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Finding the Fourth Proportional to 534.10, 737.11 and 324.23

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Solution

The fourth proportional to 534.10, 737.11 and 324.23 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.10 : 737.11 = 324.23 : x
  2. Step 2: Convert to fraction form
    534.10/737.11 = 324.23/x
  3. Step 3: Cross multiply
    534.10x = 737.11 × 324.23
  4. Step 4: Simplify right side
    534.10x = 238,992.66
  5. Step 5: Solve for x
    x = 238,992.66/534.10
  6. Step 6: Final answer
    x = 447.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.