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Finding the Fourth Proportional to 903.87, 1,354.32 and 538.20

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Solution

The fourth proportional to 903.87, 1,354.32 and 538.20 is: 806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.87 : 1,354.32 = 538.20 : x
  2. Step 2: Convert to fraction form
    903.87/1,354.32 = 538.20/x
  3. Step 3: Cross multiply
    903.87x = 1,354.32 × 538.20
  4. Step 4: Simplify right side
    903.87x = 728,895.02
  5. Step 5: Solve for x
    x = 728,895.02/903.87
  6. Step 6: Final answer
    x = 806.42

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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.