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Finding the Fourth Proportional to 1,683.64, 2,525.84 and 643.64

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Solution

The fourth proportional to 1,683.64, 2,525.84 and 643.64 is: 965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.64 : 2,525.84 = 643.64 : x
  2. Step 2: Convert to fraction form
    1,683.64/2,525.84 = 643.64/x
  3. Step 3: Cross multiply
    1,683.64x = 2,525.84 × 643.64
  4. Step 4: Simplify right side
    1,683.64x = 1,625,731.66
  5. Step 5: Solve for x
    x = 1,625,731.66/1,683.64
  6. Step 6: Final answer
    x = 965.61

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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.