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Finding the Fourth Proportional to 907.18, 1,251.78 and 514.12

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Solution

The fourth proportional to 907.18, 1,251.78 and 514.12 is: 709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.18 : 1,251.78 = 514.12 : x
  2. Step 2: Convert to fraction form
    907.18/1,251.78 = 514.12/x
  3. Step 3: Cross multiply
    907.18x = 1,251.78 × 514.12
  4. Step 4: Simplify right side
    907.18x = 643,565.13
  5. Step 5: Solve for x
    x = 643,565.13/907.18
  6. Step 6: Final answer
    x = 709.41

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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.