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Finding the Fourth Proportional to 901.88, 1,352.93 and 324.75

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Solution

The fourth proportional to 901.88, 1,352.93 and 324.75 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,352.93 = 324.75 : x
  2. Step 2: Convert to fraction form
    901.88/1,352.93 = 324.75/x
  3. Step 3: Cross multiply
    901.88x = 1,352.93 × 324.75
  4. Step 4: Simplify right side
    901.88x = 439,362.39
  5. Step 5: Solve for x
    x = 439,362.39/901.88
  6. Step 6: Final answer
    x = 487.17

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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.