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Finding the Fourth Proportional to 708.05, 977.23 and 413.32

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Solution

The fourth proportional to 708.05, 977.23 and 413.32 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 977.23 = 413.32 : x
  2. Step 2: Convert to fraction form
    708.05/977.23 = 413.32/x
  3. Step 3: Cross multiply
    708.05x = 977.23 × 413.32
  4. Step 4: Simplify right side
    708.05x = 403,908.70
  5. Step 5: Solve for x
    x = 403,908.70/708.05
  6. Step 6: Final answer
    x = 570.45

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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.