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Finding the Fourth Proportional to 942.21, 1,299.12 and 890.25

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Solution

The fourth proportional to 942.21, 1,299.12 and 890.25 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.21 : 1,299.12 = 890.25 : x
  2. Step 2: Convert to fraction form
    942.21/1,299.12 = 890.25/x
  3. Step 3: Cross multiply
    942.21x = 1,299.12 × 890.25
  4. Step 4: Simplify right side
    942.21x = 1,156,541.58
  5. Step 5: Solve for x
    x = 1,156,541.58/942.21
  6. Step 6: Final answer
    x = 1,227.48

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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.