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Finding the Fourth Proportional to 1,089.09, 1,633.87 and 358.63

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Solution

The fourth proportional to 1,089.09, 1,633.87 and 358.63 is: 538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.09 : 1,633.87 = 358.63 : x
  2. Step 2: Convert to fraction form
    1,089.09/1,633.87 = 358.63/x
  3. Step 3: Cross multiply
    1,089.09x = 1,633.87 × 358.63
  4. Step 4: Simplify right side
    1,089.09x = 585,954.80
  5. Step 5: Solve for x
    x = 585,954.80/1,089.09
  6. Step 6: Final answer
    x = 538.02

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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.