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Finding the Fourth Proportional to 534.75, 738.10 and 324.89

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Solution

The fourth proportional to 534.75, 738.10 and 324.89 is: 448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 738.10 = 324.89 : x
  2. Step 2: Convert to fraction form
    534.75/738.10 = 324.89/x
  3. Step 3: Cross multiply
    534.75x = 738.10 × 324.89
  4. Step 4: Simplify right side
    534.75x = 239,800.79
  5. Step 5: Solve for x
    x = 239,800.79/534.75
  6. Step 6: Final answer
    x = 448.44

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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.