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Finding the Fourth Proportional to 2,293.85, 3,440.64 and 650.63

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Solution

The fourth proportional to 2,293.85, 3,440.64 and 650.63 is: 975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.85 : 3,440.64 = 650.63 : x
  2. Step 2: Convert to fraction form
    2,293.85/3,440.64 = 650.63/x
  3. Step 3: Cross multiply
    2,293.85x = 3,440.64 × 650.63
  4. Step 4: Simplify right side
    2,293.85x = 2,238,583.60
  5. Step 5: Solve for x
    x = 2,238,583.60/2,293.85
  6. Step 6: Final answer
    x = 975.91

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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.