Home / 1,089.25-1,633.95-309.22

Finding the Fourth Proportional to 1,089.25, 1,633.95 and 309.22

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Solution

The fourth proportional to 1,089.25, 1,633.95 and 309.22 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.25 : 1,633.95 = 309.22 : x
  2. Step 2: Convert to fraction form
    1,089.25/1,633.95 = 309.22/x
  3. Step 3: Cross multiply
    1,089.25x = 1,633.95 × 309.22
  4. Step 4: Simplify right side
    1,089.25x = 505,250.02
  5. Step 5: Solve for x
    x = 505,250.02/1,089.25
  6. Step 6: Final answer
    x = 463.85

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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.