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Finding the Fourth Proportional to 1,620.66, 2,430.24 and 633.12

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Solution

The fourth proportional to 1,620.66, 2,430.24 and 633.12 is: 949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.66 : 2,430.24 = 633.12 : x
  2. Step 2: Convert to fraction form
    1,620.66/2,430.24 = 633.12/x
  3. Step 3: Cross multiply
    1,620.66x = 2,430.24 × 633.12
  4. Step 4: Simplify right side
    1,620.66x = 1,538,633.55
  5. Step 5: Solve for x
    x = 1,538,633.55/1,620.66
  6. Step 6: Final answer
    x = 949.39

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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.