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Finding the Fourth Proportional to 903.13, 1,354.07 and 355.37

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Solution

The fourth proportional to 903.13, 1,354.07 and 355.37 is: 532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.13 : 1,354.07 = 355.37 : x
  2. Step 2: Convert to fraction form
    903.13/1,354.07 = 355.37/x
  3. Step 3: Cross multiply
    903.13x = 1,354.07 × 355.37
  4. Step 4: Simplify right side
    903.13x = 481,194.08
  5. Step 5: Solve for x
    x = 481,194.08/903.13
  6. Step 6: Final answer
    x = 532.81

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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.