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Finding the Fourth Proportional to 509.80, 704.12 and 454.56

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Solution

The fourth proportional to 509.80, 704.12 and 454.56 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 704.12 = 454.56 : x
  2. Step 2: Convert to fraction form
    509.80/704.12 = 454.56/x
  3. Step 3: Cross multiply
    509.80x = 704.12 × 454.56
  4. Step 4: Simplify right side
    509.80x = 320,064.79
  5. Step 5: Solve for x
    x = 320,064.79/509.80
  6. Step 6: Final answer
    x = 627.82

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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.