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Finding the Fourth Proportional to 1,021.74, 1,416.08 and 974.22

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Solution

The fourth proportional to 1,021.74, 1,416.08 and 974.22 is: 1,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.74 : 1,416.08 = 974.22 : x
  2. Step 2: Convert to fraction form
    1,021.74/1,416.08 = 974.22/x
  3. Step 3: Cross multiply
    1,021.74x = 1,416.08 × 974.22
  4. Step 4: Simplify right side
    1,021.74x = 1,379,568.59
  5. Step 5: Solve for x
    x = 1,379,568.59/1,021.74
  6. Step 6: Final answer
    x = 1,350.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.