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Finding the Fourth Proportional to 1,440.84, 1,984.86 and 997.98

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Solution

The fourth proportional to 1,440.84, 1,984.86 and 997.98 is: 1,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.84 : 1,984.86 = 997.98 : x
  2. Step 2: Convert to fraction form
    1,440.84/1,984.86 = 997.98/x
  3. Step 3: Cross multiply
    1,440.84x = 1,984.86 × 997.98
  4. Step 4: Simplify right side
    1,440.84x = 1,980,850.58
  5. Step 5: Solve for x
    x = 1,980,850.58/1,440.84
  6. Step 6: Final answer
    x = 1,374.79

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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.