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Finding the Fourth Proportional to 1,424.04, 2,135.26 and 499.33

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Solution

The fourth proportional to 1,424.04, 2,135.26 and 499.33 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.04 : 2,135.26 = 499.33 : x
  2. Step 2: Convert to fraction form
    1,424.04/2,135.26 = 499.33/x
  3. Step 3: Cross multiply
    1,424.04x = 2,135.26 × 499.33
  4. Step 4: Simplify right side
    1,424.04x = 1,066,199.38
  5. Step 5: Solve for x
    x = 1,066,199.38/1,424.04
  6. Step 6: Final answer
    x = 748.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.