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Finding the Fourth Proportional to 722.90, 1,085.38 and 538.39

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Solution

The fourth proportional to 722.90, 1,085.38 and 538.39 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 1,085.38 = 538.39 : x
  2. Step 2: Convert to fraction form
    722.90/1,085.38 = 538.39/x
  3. Step 3: Cross multiply
    722.90x = 1,085.38 × 538.39
  4. Step 4: Simplify right side
    722.90x = 584,353.68
  5. Step 5: Solve for x
    x = 584,353.68/722.90
  6. Step 6: Final answer
    x = 808.34

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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.