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Finding the Fourth Proportional to 507.57, 757.46 and 452.89

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Solution

The fourth proportional to 507.57, 757.46 and 452.89 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 757.46 = 452.89 : x
  2. Step 2: Convert to fraction form
    507.57/757.46 = 452.89/x
  3. Step 3: Cross multiply
    507.57x = 757.46 × 452.89
  4. Step 4: Simplify right side
    507.57x = 343,046.06
  5. Step 5: Solve for x
    x = 343,046.06/507.57
  6. Step 6: Final answer
    x = 675.86

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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.