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Finding the Fourth Proportional to 708.05, 977.17 and 413.31

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Solution

The fourth proportional to 708.05, 977.17 and 413.31 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 977.17 = 413.31 : x
  2. Step 2: Convert to fraction form
    708.05/977.17 = 413.31/x
  3. Step 3: Cross multiply
    708.05x = 977.17 × 413.31
  4. Step 4: Simplify right side
    708.05x = 403,874.13
  5. Step 5: Solve for x
    x = 403,874.13/708.05
  6. Step 6: Final answer
    x = 570.40

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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.