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Finding the Fourth Proportional to 768.35, 1,153.38 and 398.06

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Solution

The fourth proportional to 768.35, 1,153.38 and 398.06 is: 597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.35 : 1,153.38 = 398.06 : x
  2. Step 2: Convert to fraction form
    768.35/1,153.38 = 398.06/x
  3. Step 3: Cross multiply
    768.35x = 1,153.38 × 398.06
  4. Step 4: Simplify right side
    768.35x = 459,109.01
  5. Step 5: Solve for x
    x = 459,109.01/768.35
  6. Step 6: Final answer
    x = 597.53

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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.