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Finding the Fourth Proportional to 457.67, 683.54 and 414.24

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Solution

The fourth proportional to 457.67, 683.54 and 414.24 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.67 : 683.54 = 414.24 : x
  2. Step 2: Convert to fraction form
    457.67/683.54 = 414.24/x
  3. Step 3: Cross multiply
    457.67x = 683.54 × 414.24
  4. Step 4: Simplify right side
    457.67x = 283,147.54
  5. Step 5: Solve for x
    x = 283,147.54/457.67
  6. Step 6: Final answer
    x = 618.68

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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.