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Finding the Fourth Proportional to 453.83, 683.77 and 410.54

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Solution

The fourth proportional to 453.83, 683.77 and 410.54 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.83 : 683.77 = 410.54 : x
  2. Step 2: Convert to fraction form
    453.83/683.77 = 410.54/x
  3. Step 3: Cross multiply
    453.83x = 683.77 × 410.54
  4. Step 4: Simplify right side
    453.83x = 280,712.88
  5. Step 5: Solve for x
    x = 280,712.88/453.83
  6. Step 6: Final answer
    x = 618.55

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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.