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Finding the Fourth Proportional to 1,424.81, 2,138.23 and 559.13

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Solution

The fourth proportional to 1,424.81, 2,138.23 and 559.13 is: 839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.81 : 2,138.23 = 559.13 : x
  2. Step 2: Convert to fraction form
    1,424.81/2,138.23 = 559.13/x
  3. Step 3: Cross multiply
    1,424.81x = 2,138.23 × 559.13
  4. Step 4: Simplify right side
    1,424.81x = 1,195,538.55
  5. Step 5: Solve for x
    x = 1,195,538.55/1,424.81
  6. Step 6: Final answer
    x = 839.08

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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.