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Finding the Fourth Proportional to 902.31, 1,353.47 and 317.18

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Solution

The fourth proportional to 902.31, 1,353.47 and 317.18 is: 475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.31 : 1,353.47 = 317.18 : x
  2. Step 2: Convert to fraction form
    902.31/1,353.47 = 317.18/x
  3. Step 3: Cross multiply
    902.31x = 1,353.47 × 317.18
  4. Step 4: Simplify right side
    902.31x = 429,291.06
  5. Step 5: Solve for x
    x = 429,291.06/902.31
  6. Step 6: Final answer
    x = 475.77

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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.