Home / 1,089.20-1,633.77-309.26

Finding the Fourth Proportional to 1,089.20, 1,633.77 and 309.26

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Solution

The fourth proportional to 1,089.20, 1,633.77 and 309.26 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.20 : 1,633.77 = 309.26 : x
  2. Step 2: Convert to fraction form
    1,089.20/1,633.77 = 309.26/x
  3. Step 3: Cross multiply
    1,089.20x = 1,633.77 × 309.26
  4. Step 4: Simplify right side
    1,089.20x = 505,259.71
  5. Step 5: Solve for x
    x = 505,259.71/1,089.20
  6. Step 6: Final answer
    x = 463.88

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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.