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Finding the Fourth Proportional to 458.32, 683.31 and 414.58

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Solution

The fourth proportional to 458.32, 683.31 and 414.58 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 683.31 = 414.58 : x
  2. Step 2: Convert to fraction form
    458.32/683.31 = 414.58/x
  3. Step 3: Cross multiply
    458.32x = 683.31 × 414.58
  4. Step 4: Simplify right side
    458.32x = 283,284.59
  5. Step 5: Solve for x
    x = 283,284.59/458.32
  6. Step 6: Final answer
    x = 618.09

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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.