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Finding the Fourth Proportional to 907.95, 1,252.26 and 768.45

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Solution

The fourth proportional to 907.95, 1,252.26 and 768.45 is: 1,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.95 : 1,252.26 = 768.45 : x
  2. Step 2: Convert to fraction form
    907.95/1,252.26 = 768.45/x
  3. Step 3: Cross multiply
    907.95x = 1,252.26 × 768.45
  4. Step 4: Simplify right side
    907.95x = 962,299.20
  5. Step 5: Solve for x
    x = 962,299.20/907.95
  6. Step 6: Final answer
    x = 1,059.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.