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Finding the Fourth Proportional to 1,415.64, 2,124.68 and 685.73

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Solution

The fourth proportional to 1,415.64, 2,124.68 and 685.73 is: 1,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.64 : 2,124.68 = 685.73 : x
  2. Step 2: Convert to fraction form
    1,415.64/2,124.68 = 685.73/x
  3. Step 3: Cross multiply
    1,415.64x = 2,124.68 × 685.73
  4. Step 4: Simplify right side
    1,415.64x = 1,456,942.76
  5. Step 5: Solve for x
    x = 1,456,942.76/1,415.64
  6. Step 6: Final answer
    x = 1,029.18

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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.