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Finding the Fourth Proportional to 708.66, 977.73 and 413.89

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Solution

The fourth proportional to 708.66, 977.73 and 413.89 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.66 : 977.73 = 413.89 : x
  2. Step 2: Convert to fraction form
    708.66/977.73 = 413.89/x
  3. Step 3: Cross multiply
    708.66x = 977.73 × 413.89
  4. Step 4: Simplify right side
    708.66x = 404,672.67
  5. Step 5: Solve for x
    x = 404,672.67/708.66
  6. Step 6: Final answer
    x = 571.04

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Why These Related Problems?

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