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Finding the Fourth Proportional to 509.74, 704.48 and 385.36

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Solution

The fourth proportional to 509.74, 704.48 and 385.36 is: 532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 704.48 = 385.36 : x
  2. Step 2: Convert to fraction form
    509.74/704.48 = 385.36/x
  3. Step 3: Cross multiply
    509.74x = 704.48 × 385.36
  4. Step 4: Simplify right side
    509.74x = 271,474.72
  5. Step 5: Solve for x
    x = 271,474.72/509.74
  6. Step 6: Final answer
    x = 532.58

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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.