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Finding the Fourth Proportional to 708.58, 977.84 and 413.86

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Solution

The fourth proportional to 708.58, 977.84 and 413.86 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.58 : 977.84 = 413.86 : x
  2. Step 2: Convert to fraction form
    708.58/977.84 = 413.86/x
  3. Step 3: Cross multiply
    708.58x = 977.84 × 413.86
  4. Step 4: Simplify right side
    708.58x = 404,688.86
  5. Step 5: Solve for x
    x = 404,688.86/708.58
  6. Step 6: Final answer
    x = 571.13

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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.