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Finding the Fourth Proportional to 1,484.57, 2,226.43 and 559.45

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Solution

The fourth proportional to 1,484.57, 2,226.43 and 559.45 is: 839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.57 : 2,226.43 = 559.45 : x
  2. Step 2: Convert to fraction form
    1,484.57/2,226.43 = 559.45/x
  3. Step 3: Cross multiply
    1,484.57x = 2,226.43 × 559.45
  4. Step 4: Simplify right side
    1,484.57x = 1,245,576.26
  5. Step 5: Solve for x
    x = 1,245,576.26/1,484.57
  6. Step 6: Final answer
    x = 839.01

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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.