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Finding the Fourth Proportional to 722.47, 1,084.38 and 397.39

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Solution

The fourth proportional to 722.47, 1,084.38 and 397.39 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.47 : 1,084.38 = 397.39 : x
  2. Step 2: Convert to fraction form
    722.47/1,084.38 = 397.39/x
  3. Step 3: Cross multiply
    722.47x = 1,084.38 × 397.39
  4. Step 4: Simplify right side
    722.47x = 430,921.77
  5. Step 5: Solve for x
    x = 430,921.77/722.47
  6. Step 6: Final answer
    x = 596.46

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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.