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Finding the Fourth Proportional to 453.95, 683.96 and 410.67

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Solution

The fourth proportional to 453.95, 683.96 and 410.67 is: 618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.95 : 683.96 = 410.67 : x
  2. Step 2: Convert to fraction form
    453.95/683.96 = 410.67/x
  3. Step 3: Cross multiply
    453.95x = 683.96 × 410.67
  4. Step 4: Simplify right side
    453.95x = 280,879.80
  5. Step 5: Solve for x
    x = 280,879.80/453.95
  6. Step 6: Final answer
    x = 618.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.