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Finding the Fourth Proportional to 509.86, 704.19 and 335.98

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Solution

The fourth proportional to 509.86, 704.19 and 335.98 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 704.19 = 335.98 : x
  2. Step 2: Convert to fraction form
    509.86/704.19 = 335.98/x
  3. Step 3: Cross multiply
    509.86x = 704.19 × 335.98
  4. Step 4: Simplify right side
    509.86x = 236,593.76
  5. Step 5: Solve for x
    x = 236,593.76/509.86
  6. Step 6: Final answer
    x = 464.04

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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.