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Finding the Fourth Proportional to 902.08, 1,352.58 and 324.76

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Solution

The fourth proportional to 902.08, 1,352.58 and 324.76 is: 486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.08 : 1,352.58 = 324.76 : x
  2. Step 2: Convert to fraction form
    902.08/1,352.58 = 324.76/x
  3. Step 3: Cross multiply
    902.08x = 1,352.58 × 324.76
  4. Step 4: Simplify right side
    902.08x = 439,263.88
  5. Step 5: Solve for x
    x = 439,263.88/902.08
  6. Step 6: Final answer
    x = 486.95

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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.