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Finding the Fourth Proportional to 534.93, 738.01 and 325.17

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Solution

The fourth proportional to 534.93, 738.01 and 325.17 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 738.01 = 325.17 : x
  2. Step 2: Convert to fraction form
    534.93/738.01 = 325.17/x
  3. Step 3: Cross multiply
    534.93x = 738.01 × 325.17
  4. Step 4: Simplify right side
    534.93x = 239,978.71
  5. Step 5: Solve for x
    x = 239,978.71/534.93
  6. Step 6: Final answer
    x = 448.62

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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.