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Finding the Fourth Proportional to 1,620.38, 2,428.74 and 645.35

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Solution

The fourth proportional to 1,620.38, 2,428.74 and 645.35 is: 967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.38 : 2,428.74 = 645.35 : x
  2. Step 2: Convert to fraction form
    1,620.38/2,428.74 = 645.35/x
  3. Step 3: Cross multiply
    1,620.38x = 2,428.74 × 645.35
  4. Step 4: Simplify right side
    1,620.38x = 1,567,387.36
  5. Step 5: Solve for x
    x = 1,567,387.36/1,620.38
  6. Step 6: Final answer
    x = 967.30

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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.