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Finding the Fourth Proportional to 1,314.96, 1,975.68 and 989.34

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Solution

The fourth proportional to 1,314.96, 1,975.68 and 989.34 is: 1,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.96 : 1,975.68 = 989.34 : x
  2. Step 2: Convert to fraction form
    1,314.96/1,975.68 = 989.34/x
  3. Step 3: Cross multiply
    1,314.96x = 1,975.68 × 989.34
  4. Step 4: Simplify right side
    1,314.96x = 1,954,619.25
  5. Step 5: Solve for x
    x = 1,954,619.25/1,314.96
  6. Step 6: Final answer
    x = 1,486.45

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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.