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Finding the Fourth Proportional to 907.26, 1,252.01 and 514.28

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Solution

The fourth proportional to 907.26, 1,252.01 and 514.28 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.26 : 1,252.01 = 514.28 : x
  2. Step 2: Convert to fraction form
    907.26/1,252.01 = 514.28/x
  3. Step 3: Cross multiply
    907.26x = 1,252.01 × 514.28
  4. Step 4: Simplify right side
    907.26x = 643,883.70
  5. Step 5: Solve for x
    x = 643,883.70/907.26
  6. Step 6: Final answer
    x = 709.71

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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.