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Finding the Fourth Proportional to 458.64, 683.82 and 453.84

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Solution

The fourth proportional to 458.64, 683.82 and 453.84 is: 676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 683.82 = 453.84 : x
  2. Step 2: Convert to fraction form
    458.64/683.82 = 453.84/x
  3. Step 3: Cross multiply
    458.64x = 683.82 × 453.84
  4. Step 4: Simplify right side
    458.64x = 310,344.87
  5. Step 5: Solve for x
    x = 310,344.87/458.64
  6. Step 6: Final answer
    x = 676.66

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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.