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Finding the Fourth Proportional to 1,660.94, 2,292.04 and 914.90

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Solution

The fourth proportional to 1,660.94, 2,292.04 and 914.90 is: 1,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.94 : 2,292.04 = 914.90 : x
  2. Step 2: Convert to fraction form
    1,660.94/2,292.04 = 914.90/x
  3. Step 3: Cross multiply
    1,660.94x = 2,292.04 × 914.90
  4. Step 4: Simplify right side
    1,660.94x = 2,096,974.51
  5. Step 5: Solve for x
    x = 2,096,974.51/1,660.94
  6. Step 6: Final answer
    x = 1,262.52

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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.