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Finding the Fourth Proportional to 509.69, 759.42 and 455.12

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Solution

The fourth proportional to 509.69, 759.42 and 455.12 is: 678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.69 : 759.42 = 455.12 : x
  2. Step 2: Convert to fraction form
    509.69/759.42 = 455.12/x
  3. Step 3: Cross multiply
    509.69x = 759.42 × 455.12
  4. Step 4: Simplify right side
    509.69x = 345,623.43
  5. Step 5: Solve for x
    x = 345,623.43/509.69
  6. Step 6: Final answer
    x = 678.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.