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Finding the Fourth Proportional to 509.69, 703.11 and 299.77

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Solution

The fourth proportional to 509.69, 703.11 and 299.77 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.69 : 703.11 = 299.77 : x
  2. Step 2: Convert to fraction form
    509.69/703.11 = 299.77/x
  3. Step 3: Cross multiply
    509.69x = 703.11 × 299.77
  4. Step 4: Simplify right side
    509.69x = 210,770.65
  5. Step 5: Solve for x
    x = 210,770.65/509.69
  6. Step 6: Final answer
    x = 413.53

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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.