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Finding the Fourth Proportional to 2,228.63, 3,342.67 and 585.31

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Solution

The fourth proportional to 2,228.63, 3,342.67 and 585.31 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.63 : 3,342.67 = 585.31 : x
  2. Step 2: Convert to fraction form
    2,228.63/3,342.67 = 585.31/x
  3. Step 3: Cross multiply
    2,228.63x = 3,342.67 × 585.31
  4. Step 4: Simplify right side
    2,228.63x = 1,956,488.36
  5. Step 5: Solve for x
    x = 1,956,488.36/2,228.63
  6. Step 6: Final answer
    x = 877.89

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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.