Home / 1,107.18-1,660.40-559.02

Finding the Fourth Proportional to 1,107.18, 1,660.40 and 559.02

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Solution

The fourth proportional to 1,107.18, 1,660.40 and 559.02 is: 838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.18 : 1,660.40 = 559.02 : x
  2. Step 2: Convert to fraction form
    1,107.18/1,660.40 = 559.02/x
  3. Step 3: Cross multiply
    1,107.18x = 1,660.40 × 559.02
  4. Step 4: Simplify right side
    1,107.18x = 928,196.81
  5. Step 5: Solve for x
    x = 928,196.81/1,107.18
  6. Step 6: Final answer
    x = 838.34

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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.