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Finding the Fourth Proportional to 538.81, 804.29 and 498.69

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Solution

The fourth proportional to 538.81, 804.29 and 498.69 is: 744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.81 : 804.29 = 498.69 : x
  2. Step 2: Convert to fraction form
    538.81/804.29 = 498.69/x
  3. Step 3: Cross multiply
    538.81x = 804.29 × 498.69
  4. Step 4: Simplify right side
    538.81x = 401,092.63
  5. Step 5: Solve for x
    x = 401,092.63/538.81
  6. Step 6: Final answer
    x = 744.40

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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.