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Finding the Fourth Proportional to 1,093.52, 1,639.89 and 352.98

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Solution

The fourth proportional to 1,093.52, 1,639.89 and 352.98 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.52 : 1,639.89 = 352.98 : x
  2. Step 2: Convert to fraction form
    1,093.52/1,639.89 = 352.98/x
  3. Step 3: Cross multiply
    1,093.52x = 1,639.89 × 352.98
  4. Step 4: Simplify right side
    1,093.52x = 578,848.37
  5. Step 5: Solve for x
    x = 578,848.37/1,093.52
  6. Step 6: Final answer
    x = 529.34

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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.