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Finding the Fourth Proportional to 728.61, 1,093.10 and 208.65

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Solution

The fourth proportional to 728.61, 1,093.10 and 208.65 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.61 : 1,093.10 = 208.65 : x
  2. Step 2: Convert to fraction form
    728.61/1,093.10 = 208.65/x
  3. Step 3: Cross multiply
    728.61x = 1,093.10 × 208.65
  4. Step 4: Simplify right side
    728.61x = 228,073.16
  5. Step 5: Solve for x
    x = 228,073.16/728.61
  6. Step 6: Final answer
    x = 313.03

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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.