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Finding the Fourth Proportional to 722.84, 1,083.94 and 357.48

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Solution

The fourth proportional to 722.84, 1,083.94 and 357.48 is: 536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.84 : 1,083.94 = 357.48 : x
  2. Step 2: Convert to fraction form
    722.84/1,083.94 = 357.48/x
  3. Step 3: Cross multiply
    722.84x = 1,083.94 × 357.48
  4. Step 4: Simplify right side
    722.84x = 387,486.87
  5. Step 5: Solve for x
    x = 387,486.87/722.84
  6. Step 6: Final answer
    x = 536.06

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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.