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Finding the Fourth Proportional to 1,083.19, 1,624.99 and 352.98

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Solution

The fourth proportional to 1,083.19, 1,624.99 and 352.98 is: 529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.19 : 1,624.99 = 352.98 : x
  2. Step 2: Convert to fraction form
    1,083.19/1,624.99 = 352.98/x
  3. Step 3: Cross multiply
    1,083.19x = 1,624.99 × 352.98
  4. Step 4: Simplify right side
    1,083.19x = 573,588.97
  5. Step 5: Solve for x
    x = 573,588.97/1,083.19
  6. Step 6: Final answer
    x = 529.54

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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.