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Finding the Fourth Proportional to 1,620.34, 2,431.50 and 646.30

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Solution

The fourth proportional to 1,620.34, 2,431.50 and 646.30 is: 969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.34 : 2,431.50 = 646.30 : x
  2. Step 2: Convert to fraction form
    1,620.34/2,431.50 = 646.30/x
  3. Step 3: Cross multiply
    1,620.34x = 2,431.50 × 646.30
  4. Step 4: Simplify right side
    1,620.34x = 1,571,478.45
  5. Step 5: Solve for x
    x = 1,571,478.45/1,620.34
  6. Step 6: Final answer
    x = 969.84

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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.