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Finding the Fourth Proportional to 909.31, 1,362.30 and 538.60

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Solution

The fourth proportional to 909.31, 1,362.30 and 538.60 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.31 : 1,362.30 = 538.60 : x
  2. Step 2: Convert to fraction form
    909.31/1,362.30 = 538.60/x
  3. Step 3: Cross multiply
    909.31x = 1,362.30 × 538.60
  4. Step 4: Simplify right side
    909.31x = 733,734.78
  5. Step 5: Solve for x
    x = 733,734.78/909.31
  6. Step 6: Final answer
    x = 806.91

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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.