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Finding the Fourth Proportional to 612.95, 845.30 and 413.82

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Solution

The fourth proportional to 612.95, 845.30 and 413.82 is: 570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.95 : 845.30 = 413.82 : x
  2. Step 2: Convert to fraction form
    612.95/845.30 = 413.82/x
  3. Step 3: Cross multiply
    612.95x = 845.30 × 413.82
  4. Step 4: Simplify right side
    612.95x = 349,803.08
  5. Step 5: Solve for x
    x = 349,803.08/612.95
  6. Step 6: Final answer
    x = 570.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.