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Finding the Fourth Proportional to 906, 1,359.36 and 328.92

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Solution

The fourth proportional to 906, 1,359.36 and 328.92 is: 493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,359.36 = 328.92 : x
  2. Step 2: Convert to fraction form
    906/1,359.36 = 328.92/x
  3. Step 3: Cross multiply
    906x = 1,359.36 × 328.92
  4. Step 4: Simplify right side
    906x = 447,120.69
  5. Step 5: Solve for x
    x = 447,120.69/906
  6. Step 6: Final answer
    x = 493.51

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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.