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Finding the Fourth Proportional to 1,088.94, 1,633.53 and 439.26

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Solution

The fourth proportional to 1,088.94, 1,633.53 and 439.26 is: 658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.94 : 1,633.53 = 439.26 : x
  2. Step 2: Convert to fraction form
    1,088.94/1,633.53 = 439.26/x
  3. Step 3: Cross multiply
    1,088.94x = 1,633.53 × 439.26
  4. Step 4: Simplify right side
    1,088.94x = 717,544.39
  5. Step 5: Solve for x
    x = 717,544.39/1,088.94
  6. Step 6: Final answer
    x = 658.94

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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.