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Finding the Fourth Proportional to 903.10, 1,353.84 and 355.54

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Solution

The fourth proportional to 903.10, 1,353.84 and 355.54 is: 532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.10 : 1,353.84 = 355.54 : x
  2. Step 2: Convert to fraction form
    903.10/1,353.84 = 355.54/x
  3. Step 3: Cross multiply
    903.10x = 1,353.84 × 355.54
  4. Step 4: Simplify right side
    903.10x = 481,344.27
  5. Step 5: Solve for x
    x = 481,344.27/903.10
  6. Step 6: Final answer
    x = 532.99

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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.