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Finding the Fourth Proportional to 903.33, 1,356.81 and 538.83

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Solution

The fourth proportional to 903.33, 1,356.81 and 538.83 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.33 : 1,356.81 = 538.83 : x
  2. Step 2: Convert to fraction form
    903.33/1,356.81 = 538.83/x
  3. Step 3: Cross multiply
    903.33x = 1,356.81 × 538.83
  4. Step 4: Simplify right side
    903.33x = 731,089.93
  5. Step 5: Solve for x
    x = 731,089.93/903.33
  6. Step 6: Final answer
    x = 809.33

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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.