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Finding the Fourth Proportional to 2,262.21, 3,392.95 and 618.88

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Solution

The fourth proportional to 2,262.21, 3,392.95 and 618.88 is: 928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.21 : 3,392.95 = 618.88 : x
  2. Step 2: Convert to fraction form
    2,262.21/3,392.95 = 618.88/x
  3. Step 3: Cross multiply
    2,262.21x = 3,392.95 × 618.88
  4. Step 4: Simplify right side
    2,262.21x = 2,099,828.90
  5. Step 5: Solve for x
    x = 2,099,828.90/2,262.21
  6. Step 6: Final answer
    x = 928.22

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1.5x scale

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.