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Finding the Fourth Proportional to 901.91, 1,352.88 and 324.77

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Solution

The fourth proportional to 901.91, 1,352.88 and 324.77 is: 487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.91 : 1,352.88 = 324.77 : x
  2. Step 2: Convert to fraction form
    901.91/1,352.88 = 324.77/x
  3. Step 3: Cross multiply
    901.91x = 1,352.88 × 324.77
  4. Step 4: Simplify right side
    901.91x = 439,374.84
  5. Step 5: Solve for x
    x = 439,374.84/901.91
  6. Step 6: Final answer
    x = 487.16

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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.