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Finding the Fourth Proportional to 3,205.63, 4,808.62 and 897.31

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Solution

The fourth proportional to 3,205.63, 4,808.62 and 897.31 is: 1,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.63 : 4,808.62 = 897.31 : x
  2. Step 2: Convert to fraction form
    3,205.63/4,808.62 = 897.31/x
  3. Step 3: Cross multiply
    3,205.63x = 4,808.62 × 897.31
  4. Step 4: Simplify right side
    3,205.63x = 4,314,798.77
  5. Step 5: Solve for x
    x = 4,314,798.77/3,205.63
  6. Step 6: Final answer
    x = 1,346.01

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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.