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Finding the Fourth Proportional to 498.96, 683.59 and 480.26

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Solution

The fourth proportional to 498.96, 683.59 and 480.26 is: 657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 683.59 = 480.26 : x
  2. Step 2: Convert to fraction form
    498.96/683.59 = 480.26/x
  3. Step 3: Cross multiply
    498.96x = 683.59 × 480.26
  4. Step 4: Simplify right side
    498.96x = 328,300.32
  5. Step 5: Solve for x
    x = 328,300.32/498.96
  6. Step 6: Final answer
    x = 657.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.