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Finding the Fourth Proportional to 1,222.26, 1,830.96 and 989.97

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Solution

The fourth proportional to 1,222.26, 1,830.96 and 989.97 is: 1,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.26 : 1,830.96 = 989.97 : x
  2. Step 2: Convert to fraction form
    1,222.26/1,830.96 = 989.97/x
  3. Step 3: Cross multiply
    1,222.26x = 1,830.96 × 989.97
  4. Step 4: Simplify right side
    1,222.26x = 1,812,595.47
  5. Step 5: Solve for x
    x = 1,812,595.47/1,222.26
  6. Step 6: Final answer
    x = 1,482.99

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1.5x scale

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.