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Finding the Fourth Proportional to 2,311, 3,466.48 and 579.64

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Solution

The fourth proportional to 2,311, 3,466.48 and 579.64 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311 : 3,466.48 = 579.64 : x
  2. Step 2: Convert to fraction form
    2,311/3,466.48 = 579.64/x
  3. Step 3: Cross multiply
    2,311x = 3,466.48 × 579.64
  4. Step 4: Simplify right side
    2,311x = 2,009,310.47
  5. Step 5: Solve for x
    x = 2,009,310.47/2,311
  6. Step 6: Final answer
    x = 869.45

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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.