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Finding the Fourth Proportional to 708.20, 977.13 and 413.40

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Solution

The fourth proportional to 708.20, 977.13 and 413.40 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.20 : 977.13 = 413.40 : x
  2. Step 2: Convert to fraction form
    708.20/977.13 = 413.40/x
  3. Step 3: Cross multiply
    708.20x = 977.13 × 413.40
  4. Step 4: Simplify right side
    708.20x = 403,945.54
  5. Step 5: Solve for x
    x = 403,945.54/708.20
  6. Step 6: Final answer
    x = 570.38

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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.