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Finding the Fourth Proportional to 902.19, 1,353.28 and 317.62

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Solution

The fourth proportional to 902.19, 1,353.28 and 317.62 is: 476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.19 : 1,353.28 = 317.62 : x
  2. Step 2: Convert to fraction form
    902.19/1,353.28 = 317.62/x
  3. Step 3: Cross multiply
    902.19x = 1,353.28 × 317.62
  4. Step 4: Simplify right side
    902.19x = 429,824.62
  5. Step 5: Solve for x
    x = 429,824.62/902.19
  6. Step 6: Final answer
    x = 476.43

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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.