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Finding the Fourth Proportional to 1,366.90, 2,050.37 and 442.45

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Solution

The fourth proportional to 1,366.90, 2,050.37 and 442.45 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.90 : 2,050.37 = 442.45 : x
  2. Step 2: Convert to fraction form
    1,366.90/2,050.37 = 442.45/x
  3. Step 3: Cross multiply
    1,366.90x = 2,050.37 × 442.45
  4. Step 4: Simplify right side
    1,366.90x = 907,183.99
  5. Step 5: Solve for x
    x = 907,183.99/1,366.90
  6. Step 6: Final answer
    x = 663.68

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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.