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Finding the Fourth Proportional to 509.61, 759.81 and 504.57

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Solution

The fourth proportional to 509.61, 759.81 and 504.57 is: 752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 759.81 = 504.57 : x
  2. Step 2: Convert to fraction form
    509.61/759.81 = 504.57/x
  3. Step 3: Cross multiply
    509.61x = 759.81 × 504.57
  4. Step 4: Simplify right side
    509.61x = 383,377.33
  5. Step 5: Solve for x
    x = 383,377.33/509.61
  6. Step 6: Final answer
    x = 752.30

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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.