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Finding the Fourth Proportional to 943.21, 1,290.10 and 928.09

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Solution

The fourth proportional to 943.21, 1,290.10 and 928.09 is: 1,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.21 : 1,290.10 = 928.09 : x
  2. Step 2: Convert to fraction form
    943.21/1,290.10 = 928.09/x
  3. Step 3: Cross multiply
    943.21x = 1,290.10 × 928.09
  4. Step 4: Simplify right side
    943.21x = 1,197,328.91
  5. Step 5: Solve for x
    x = 1,197,328.91/943.21
  6. Step 6: Final answer
    x = 1,269.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.