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Finding the Fourth Proportional to 907.22, 1,252.14 and 514.25

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Solution

The fourth proportional to 907.22, 1,252.14 and 514.25 is: 709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.22 : 1,252.14 = 514.25 : x
  2. Step 2: Convert to fraction form
    907.22/1,252.14 = 514.25/x
  3. Step 3: Cross multiply
    907.22x = 1,252.14 × 514.25
  4. Step 4: Simplify right side
    907.22x = 643,906.73
  5. Step 5: Solve for x
    x = 643,906.73/907.22
  6. Step 6: Final answer
    x = 709.76

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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.