Home / 1,107.16-1,658.80-933.64

Finding the Fourth Proportional to 1,107.16, 1,658.80 and 933.64

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Solution

The fourth proportional to 1,107.16, 1,658.80 and 933.64 is: 1,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.16 : 1,658.80 = 933.64 : x
  2. Step 2: Convert to fraction form
    1,107.16/1,658.80 = 933.64/x
  3. Step 3: Cross multiply
    1,107.16x = 1,658.80 × 933.64
  4. Step 4: Simplify right side
    1,107.16x = 1,548,722.03
  5. Step 5: Solve for x
    x = 1,548,722.03/1,107.16
  6. Step 6: Final answer
    x = 1,398.82

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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.