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Finding the Fourth Proportional to 903.78, 1,355.46 and 287.54

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Solution

The fourth proportional to 903.78, 1,355.46 and 287.54 is: 431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,355.46 = 287.54 : x
  2. Step 2: Convert to fraction form
    903.78/1,355.46 = 287.54/x
  3. Step 3: Cross multiply
    903.78x = 1,355.46 × 287.54
  4. Step 4: Simplify right side
    903.78x = 389,748.97
  5. Step 5: Solve for x
    x = 389,748.97/903.78
  6. Step 6: Final answer
    x = 431.24

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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.