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Finding the Fourth Proportional to 722.50, 1,083.78 and 209.50

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Solution

The fourth proportional to 722.50, 1,083.78 and 209.50 is: 314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 1,083.78 = 209.50 : x
  2. Step 2: Convert to fraction form
    722.50/1,083.78 = 209.50/x
  3. Step 3: Cross multiply
    722.50x = 1,083.78 × 209.50
  4. Step 4: Simplify right side
    722.50x = 227,051.91
  5. Step 5: Solve for x
    x = 227,051.91/722.50
  6. Step 6: Final answer
    x = 314.26

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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.