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Finding the Fourth Proportional to 2,289.96, 3,435 and 646.41

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Solution

The fourth proportional to 2,289.96, 3,435 and 646.41 is: 969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.96 : 3,435 = 646.41 : x
  2. Step 2: Convert to fraction form
    2,289.96/3,435 = 646.41/x
  3. Step 3: Cross multiply
    2,289.96x = 3,435 × 646.41
  4. Step 4: Simplify right side
    2,289.96x = 2,220,418.35
  5. Step 5: Solve for x
    x = 2,220,418.35/2,289.96
  6. Step 6: Final answer
    x = 969.63

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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.