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Finding the Fourth Proportional to 413.88, 617.87 and 386.96

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Solution

The fourth proportional to 413.88, 617.87 and 386.96 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 617.87 = 386.96 : x
  2. Step 2: Convert to fraction form
    413.88/617.87 = 386.96/x
  3. Step 3: Cross multiply
    413.88x = 617.87 × 386.96
  4. Step 4: Simplify right side
    413.88x = 239,085.95
  5. Step 5: Solve for x
    x = 239,085.95/413.88
  6. Step 6: Final answer
    x = 577.67

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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.