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Finding the Fourth Proportional to 1,107.83, 1,660.68 and 414.31

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Solution

The fourth proportional to 1,107.83, 1,660.68 and 414.31 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.83 : 1,660.68 = 414.31 : x
  2. Step 2: Convert to fraction form
    1,107.83/1,660.68 = 414.31/x
  3. Step 3: Cross multiply
    1,107.83x = 1,660.68 × 414.31
  4. Step 4: Simplify right side
    1,107.83x = 688,036.33
  5. Step 5: Solve for x
    x = 688,036.33/1,107.83
  6. Step 6: Final answer
    x = 621.07

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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.