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Finding the Fourth Proportional to 574.96, 794.90 and 509.32

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Solution

The fourth proportional to 574.96, 794.90 and 509.32 is: 704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.96 : 794.90 = 509.32 : x
  2. Step 2: Convert to fraction form
    574.96/794.90 = 509.32/x
  3. Step 3: Cross multiply
    574.96x = 794.90 × 509.32
  4. Step 4: Simplify right side
    574.96x = 404,858.47
  5. Step 5: Solve for x
    x = 404,858.47/574.96
  6. Step 6: Final answer
    x = 704.15

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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.