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Finding the Fourth Proportional to 1,392.56, 2,088.36 and 418.40

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Solution

The fourth proportional to 1,392.56, 2,088.36 and 418.40 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.56 : 2,088.36 = 418.40 : x
  2. Step 2: Convert to fraction form
    1,392.56/2,088.36 = 418.40/x
  3. Step 3: Cross multiply
    1,392.56x = 2,088.36 × 418.40
  4. Step 4: Simplify right side
    1,392.56x = 873,769.82
  5. Step 5: Solve for x
    x = 873,769.82/1,392.56
  6. Step 6: Final answer
    x = 627.46

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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.