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Finding the Fourth Proportional to 1,392.23, 2,088.75 and 418.34

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Solution

The fourth proportional to 1,392.23, 2,088.75 and 418.34 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.23 : 2,088.75 = 418.34 : x
  2. Step 2: Convert to fraction form
    1,392.23/2,088.75 = 418.34/x
  3. Step 3: Cross multiply
    1,392.23x = 2,088.75 × 418.34
  4. Step 4: Simplify right side
    1,392.23x = 873,807.68
  5. Step 5: Solve for x
    x = 873,807.68/1,392.23
  6. Step 6: Final answer
    x = 627.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.