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Finding the Fourth Proportional to 683.98, 944.01 and 498.02

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Solution

The fourth proportional to 683.98, 944.01 and 498.02 is: 687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.98 : 944.01 = 498.02 : x
  2. Step 2: Convert to fraction form
    683.98/944.01 = 498.02/x
  3. Step 3: Cross multiply
    683.98x = 944.01 × 498.02
  4. Step 4: Simplify right side
    683.98x = 470,131.14
  5. Step 5: Solve for x
    x = 470,131.14/683.98
  6. Step 6: Final answer
    x = 687.35

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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.