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Finding the Fourth Proportional to 534.79, 738.05 and 325.03

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Solution

The fourth proportional to 534.79, 738.05 and 325.03 is: 448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.79 : 738.05 = 325.03 : x
  2. Step 2: Convert to fraction form
    534.79/738.05 = 325.03/x
  3. Step 3: Cross multiply
    534.79x = 738.05 × 325.03
  4. Step 4: Simplify right side
    534.79x = 239,888.39
  5. Step 5: Solve for x
    x = 239,888.39/534.79
  6. Step 6: Final answer
    x = 448.57

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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.