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Finding the Fourth Proportional to 610.11, 914.36 and 455.67

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Solution

The fourth proportional to 610.11, 914.36 and 455.67 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.11 : 914.36 = 455.67 : x
  2. Step 2: Convert to fraction form
    610.11/914.36 = 455.67/x
  3. Step 3: Cross multiply
    610.11x = 914.36 × 455.67
  4. Step 4: Simplify right side
    610.11x = 416,644.14
  5. Step 5: Solve for x
    x = 416,644.14/610.11
  6. Step 6: Final answer
    x = 682.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.