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Finding the Fourth Proportional to 907.11, 1,251.79 and 514.26

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Solution

The fourth proportional to 907.11, 1,251.79 and 514.26 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.11 : 1,251.79 = 514.26 : x
  2. Step 2: Convert to fraction form
    907.11/1,251.79 = 514.26/x
  3. Step 3: Cross multiply
    907.11x = 1,251.79 × 514.26
  4. Step 4: Simplify right side
    907.11x = 643,742.95
  5. Step 5: Solve for x
    x = 643,742.95/907.11
  6. Step 6: Final answer
    x = 709.66

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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.