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Finding the Fourth Proportional to 458.46, 683.28 and 445.14

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Solution

The fourth proportional to 458.46, 683.28 and 445.14 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 683.28 = 445.14 : x
  2. Step 2: Convert to fraction form
    458.46/683.28 = 445.14/x
  3. Step 3: Cross multiply
    458.46x = 683.28 × 445.14
  4. Step 4: Simplify right side
    458.46x = 304,155.26
  5. Step 5: Solve for x
    x = 304,155.26/458.46
  6. Step 6: Final answer
    x = 663.43

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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.