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Finding the Fourth Proportional to 457.88, 683.40 and 446.96

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Solution

The fourth proportional to 457.88, 683.40 and 446.96 is: 667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.88 : 683.40 = 446.96 : x
  2. Step 2: Convert to fraction form
    457.88/683.40 = 446.96/x
  3. Step 3: Cross multiply
    457.88x = 683.40 × 446.96
  4. Step 4: Simplify right side
    457.88x = 305,452.46
  5. Step 5: Solve for x
    x = 305,452.46/457.88
  6. Step 6: Final answer
    x = 667.10

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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.