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Finding the Fourth Proportional to 498.42, 683.78 and 470.48

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Solution

The fourth proportional to 498.42, 683.78 and 470.48 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 683.78 = 470.48 : x
  2. Step 2: Convert to fraction form
    498.42/683.78 = 470.48/x
  3. Step 3: Cross multiply
    498.42x = 683.78 × 470.48
  4. Step 4: Simplify right side
    498.42x = 321,699.04
  5. Step 5: Solve for x
    x = 321,699.04/498.42
  6. Step 6: Final answer
    x = 645.44

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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.