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Finding the Fourth Proportional to 903.31, 1,356.05 and 538.27

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Solution

The fourth proportional to 903.31, 1,356.05 and 538.27 is: 808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.31 : 1,356.05 = 538.27 : x
  2. Step 2: Convert to fraction form
    903.31/1,356.05 = 538.27/x
  3. Step 3: Cross multiply
    903.31x = 1,356.05 × 538.27
  4. Step 4: Simplify right side
    903.31x = 729,921.03
  5. Step 5: Solve for x
    x = 729,921.03/903.31
  6. Step 6: Final answer
    x = 808.05

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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.