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Finding the Fourth Proportional to 722.90, 1,085.07 and 398.42

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Solution

The fourth proportional to 722.90, 1,085.07 and 398.42 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 1,085.07 = 398.42 : x
  2. Step 2: Convert to fraction form
    722.90/1,085.07 = 398.42/x
  3. Step 3: Cross multiply
    722.90x = 1,085.07 × 398.42
  4. Step 4: Simplify right side
    722.90x = 432,313.59
  5. Step 5: Solve for x
    x = 432,313.59/722.90
  6. Step 6: Final answer
    x = 598.03

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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.