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Finding the Fourth Proportional to 495.58, 683.60 and 321.02

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Solution

The fourth proportional to 495.58, 683.60 and 321.02 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.58 : 683.60 = 321.02 : x
  2. Step 2: Convert to fraction form
    495.58/683.60 = 321.02/x
  3. Step 3: Cross multiply
    495.58x = 683.60 × 321.02
  4. Step 4: Simplify right side
    495.58x = 219,449.27
  5. Step 5: Solve for x
    x = 219,449.27/495.58
  6. Step 6: Final answer
    x = 442.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.