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Finding the Fourth Proportional to 509.72, 703.33 and 299.91

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Solution

The fourth proportional to 509.72, 703.33 and 299.91 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.72 : 703.33 = 299.91 : x
  2. Step 2: Convert to fraction form
    509.72/703.33 = 299.91/x
  3. Step 3: Cross multiply
    509.72x = 703.33 × 299.91
  4. Step 4: Simplify right side
    509.72x = 210,935.70
  5. Step 5: Solve for x
    x = 210,935.70/509.72
  6. Step 6: Final answer
    x = 413.83

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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.