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Finding the Fourth Proportional to 998.95, 1,378.72 and 972.63

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Solution

The fourth proportional to 998.95, 1,378.72 and 972.63 is: 1,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.95 : 1,378.72 = 972.63 : x
  2. Step 2: Convert to fraction form
    998.95/1,378.72 = 972.63/x
  3. Step 3: Cross multiply
    998.95x = 1,378.72 × 972.63
  4. Step 4: Simplify right side
    998.95x = 1,340,984.43
  5. Step 5: Solve for x
    x = 1,340,984.43/998.95
  6. Step 6: Final answer
    x = 1,342.39

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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.