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Finding the Fourth Proportional to 900.78, 1,351.17 and 251.57

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Solution

The fourth proportional to 900.78, 1,351.17 and 251.57 is: 377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,351.17 = 251.57 : x
  2. Step 2: Convert to fraction form
    900.78/1,351.17 = 251.57/x
  3. Step 3: Cross multiply
    900.78x = 1,351.17 × 251.57
  4. Step 4: Simplify right side
    900.78x = 339,907.08
  5. Step 5: Solve for x
    x = 339,907.08/900.78
  6. Step 6: Final answer
    x = 377.35

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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.