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Finding the Fourth Proportional to 1,089.26, 1,633.94 and 358.84

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Solution

The fourth proportional to 1,089.26, 1,633.94 and 358.84 is: 538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.26 : 1,633.94 = 358.84 : x
  2. Step 2: Convert to fraction form
    1,089.26/1,633.94 = 358.84/x
  3. Step 3: Cross multiply
    1,089.26x = 1,633.94 × 358.84
  4. Step 4: Simplify right side
    1,089.26x = 586,323.03
  5. Step 5: Solve for x
    x = 586,323.03/1,089.26
  6. Step 6: Final answer
    x = 538.28

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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.