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Finding the Fourth Proportional to 1,098.22, 1,647.49 and 357.59

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Solution

The fourth proportional to 1,098.22, 1,647.49 and 357.59 is: 536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.22 : 1,647.49 = 357.59 : x
  2. Step 2: Convert to fraction form
    1,098.22/1,647.49 = 357.59/x
  3. Step 3: Cross multiply
    1,098.22x = 1,647.49 × 357.59
  4. Step 4: Simplify right side
    1,098.22x = 589,125.45
  5. Step 5: Solve for x
    x = 589,125.45/1,098.22
  6. Step 6: Final answer
    x = 536.44

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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.