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Finding the Fourth Proportional to 509.53, 759.85 and 453.52

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Solution

The fourth proportional to 509.53, 759.85 and 453.52 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.53 : 759.85 = 453.52 : x
  2. Step 2: Convert to fraction form
    509.53/759.85 = 453.52/x
  3. Step 3: Cross multiply
    509.53x = 759.85 × 453.52
  4. Step 4: Simplify right side
    509.53x = 344,607.17
  5. Step 5: Solve for x
    x = 344,607.17/509.53
  6. Step 6: Final answer
    x = 676.32

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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.