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Finding the Fourth Proportional to 1,683.95, 2,525.78 and 451.32

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Solution

The fourth proportional to 1,683.95, 2,525.78 and 451.32 is: 676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.95 : 2,525.78 = 451.32 : x
  2. Step 2: Convert to fraction form
    1,683.95/2,525.78 = 451.32/x
  3. Step 3: Cross multiply
    1,683.95x = 2,525.78 × 451.32
  4. Step 4: Simplify right side
    1,683.95x = 1,139,932.77
  5. Step 5: Solve for x
    x = 1,139,932.77/1,683.95
  6. Step 6: Final answer
    x = 676.94

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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.