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Finding the Fourth Proportional to 1,400.74, 2,099.22 and 988.90

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Solution

The fourth proportional to 1,400.74, 2,099.22 and 988.90 is: 1,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.74 : 2,099.22 = 988.90 : x
  2. Step 2: Convert to fraction form
    1,400.74/2,099.22 = 988.90/x
  3. Step 3: Cross multiply
    1,400.74x = 2,099.22 × 988.90
  4. Step 4: Simplify right side
    1,400.74x = 2,075,918.66
  5. Step 5: Solve for x
    x = 2,075,918.66/1,400.74
  6. Step 6: Final answer
    x = 1,482.02

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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.