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Finding the Fourth Proportional to 1,620.14, 2,431.02 and 648.14

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Solution

The fourth proportional to 1,620.14, 2,431.02 and 648.14 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.14 : 2,431.02 = 648.14 : x
  2. Step 2: Convert to fraction form
    1,620.14/2,431.02 = 648.14/x
  3. Step 3: Cross multiply
    1,620.14x = 2,431.02 × 648.14
  4. Step 4: Simplify right side
    1,620.14x = 1,575,641.30
  5. Step 5: Solve for x
    x = 1,575,641.30/1,620.14
  6. Step 6: Final answer
    x = 972.53

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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.