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Finding the Fourth Proportional to 1,625.85, 2,438.55 and 651.96

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Solution

The fourth proportional to 1,625.85, 2,438.55 and 651.96 is: 977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.85 : 2,438.55 = 651.96 : x
  2. Step 2: Convert to fraction form
    1,625.85/2,438.55 = 651.96/x
  3. Step 3: Cross multiply
    1,625.85x = 2,438.55 × 651.96
  4. Step 4: Simplify right side
    1,625.85x = 1,589,837.06
  5. Step 5: Solve for x
    x = 1,589,837.06/1,625.85
  6. Step 6: Final answer
    x = 977.85

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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.