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Finding the Fourth Proportional to 1,021.49, 1,406.57 and 873.80

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Solution

The fourth proportional to 1,021.49, 1,406.57 and 873.80 is: 1,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.49 : 1,406.57 = 873.80 : x
  2. Step 2: Convert to fraction form
    1,021.49/1,406.57 = 873.80/x
  3. Step 3: Cross multiply
    1,021.49x = 1,406.57 × 873.80
  4. Step 4: Simplify right side
    1,021.49x = 1,229,049.46
  5. Step 5: Solve for x
    x = 1,229,049.46/1,021.49
  6. Step 6: Final answer
    x = 1,203.20

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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.