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Finding the Fourth Proportional to 413.47, 618.34 and 367.48

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Solution

The fourth proportional to 413.47, 618.34 and 367.48 is: 549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 618.34 = 367.48 : x
  2. Step 2: Convert to fraction form
    413.47/618.34 = 367.48/x
  3. Step 3: Cross multiply
    413.47x = 618.34 × 367.48
  4. Step 4: Simplify right side
    413.47x = 227,225.02
  5. Step 5: Solve for x
    x = 227,225.02/413.47
  6. Step 6: Final answer
    x = 549.56

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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.