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Finding the Fourth Proportional to 1,467.98, 2,202.35 and 646.41

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Solution

The fourth proportional to 1,467.98, 2,202.35 and 646.41 is: 969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.98 : 2,202.35 = 646.41 : x
  2. Step 2: Convert to fraction form
    1,467.98/2,202.35 = 646.41/x
  3. Step 3: Cross multiply
    1,467.98x = 2,202.35 × 646.41
  4. Step 4: Simplify right side
    1,467.98x = 1,423,617.83
  5. Step 5: Solve for x
    x = 1,423,617.83/1,467.98
  6. Step 6: Final answer
    x = 969.78

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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.