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Finding the Fourth Proportional to 507.45, 757.73 and 416.33

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Solution

The fourth proportional to 507.45, 757.73 and 416.33 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 757.73 = 416.33 : x
  2. Step 2: Convert to fraction form
    507.45/757.73 = 416.33/x
  3. Step 3: Cross multiply
    507.45x = 757.73 × 416.33
  4. Step 4: Simplify right side
    507.45x = 315,465.73
  5. Step 5: Solve for x
    x = 315,465.73/507.45
  6. Step 6: Final answer
    x = 621.67

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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.