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Finding the Fourth Proportional to 1,415.15, 2,122.79 and 634.31

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Solution

The fourth proportional to 1,415.15, 2,122.79 and 634.31 is: 951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.15 : 2,122.79 = 634.31 : x
  2. Step 2: Convert to fraction form
    1,415.15/2,122.79 = 634.31/x
  3. Step 3: Cross multiply
    1,415.15x = 2,122.79 × 634.31
  4. Step 4: Simplify right side
    1,415.15x = 1,346,493.14
  5. Step 5: Solve for x
    x = 1,346,493.14/1,415.15
  6. Step 6: Final answer
    x = 951.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.