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Finding the Fourth Proportional to 577.36, 862.43 and 413.74

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Solution

The fourth proportional to 577.36, 862.43 and 413.74 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 862.43 = 413.74 : x
  2. Step 2: Convert to fraction form
    577.36/862.43 = 413.74/x
  3. Step 3: Cross multiply
    577.36x = 862.43 × 413.74
  4. Step 4: Simplify right side
    577.36x = 356,821.79
  5. Step 5: Solve for x
    x = 356,821.79/577.36
  6. Step 6: Final answer
    x = 618.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.