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Finding the Fourth Proportional to 1,628.47, 2,442.82 and 654.57

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Solution

The fourth proportional to 1,628.47, 2,442.82 and 654.57 is: 981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.47 : 2,442.82 = 654.57 : x
  2. Step 2: Convert to fraction form
    1,628.47/2,442.82 = 654.57/x
  3. Step 3: Cross multiply
    1,628.47x = 2,442.82 × 654.57
  4. Step 4: Simplify right side
    1,628.47x = 1,598,993.41
  5. Step 5: Solve for x
    x = 1,598,993.41/1,628.47
  6. Step 6: Final answer
    x = 981.90

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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.