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Finding the Fourth Proportional to 765.19, 1,147.56 and 413.74

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Solution

The fourth proportional to 765.19, 1,147.56 and 413.74 is: 620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.19 : 1,147.56 = 413.74 : x
  2. Step 2: Convert to fraction form
    765.19/1,147.56 = 413.74/x
  3. Step 3: Cross multiply
    765.19x = 1,147.56 × 413.74
  4. Step 4: Simplify right side
    765.19x = 474,791.47
  5. Step 5: Solve for x
    x = 474,791.47/765.19
  6. Step 6: Final answer
    x = 620.49

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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.