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Finding the Fourth Proportional to 1,459.51, 2,014.86 and 989.88

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Solution

The fourth proportional to 1,459.51, 2,014.86 and 989.88 is: 1,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.51 : 2,014.86 = 989.88 : x
  2. Step 2: Convert to fraction form
    1,459.51/2,014.86 = 989.88/x
  3. Step 3: Cross multiply
    1,459.51x = 2,014.86 × 989.88
  4. Step 4: Simplify right side
    1,459.51x = 1,994,469.62
  5. Step 5: Solve for x
    x = 1,994,469.62/1,459.51
  6. Step 6: Final answer
    x = 1,366.53

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1.5x scale

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.