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Finding the Fourth Proportional to 998.94, 1,378.71 and 626.24

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Solution

The fourth proportional to 998.94, 1,378.71 and 626.24 is: 864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.94 : 1,378.71 = 626.24 : x
  2. Step 2: Convert to fraction form
    998.94/1,378.71 = 626.24/x
  3. Step 3: Cross multiply
    998.94x = 1,378.71 × 626.24
  4. Step 4: Simplify right side
    998.94x = 863,403.35
  5. Step 5: Solve for x
    x = 863,403.35/998.94
  6. Step 6: Final answer
    x = 864.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.