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Finding the Fourth Proportional to 509.55, 699.42 and 453.05

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Solution

The fourth proportional to 509.55, 699.42 and 453.05 is: 621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.55 : 699.42 = 453.05 : x
  2. Step 2: Convert to fraction form
    509.55/699.42 = 453.05/x
  3. Step 3: Cross multiply
    509.55x = 699.42 × 453.05
  4. Step 4: Simplify right side
    509.55x = 316,872.23
  5. Step 5: Solve for x
    x = 316,872.23/509.55
  6. Step 6: Final answer
    x = 621.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.