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Finding the Fourth Proportional to 768.55, 1,153.55 and 403.60

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Solution

The fourth proportional to 768.55, 1,153.55 and 403.60 is: 605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.55 : 1,153.55 = 403.60 : x
  2. Step 2: Convert to fraction form
    768.55/1,153.55 = 403.60/x
  3. Step 3: Cross multiply
    768.55x = 1,153.55 × 403.60
  4. Step 4: Simplify right side
    768.55x = 465,572.78
  5. Step 5: Solve for x
    x = 465,572.78/768.55
  6. Step 6: Final answer
    x = 605.78

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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.