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Finding the Fourth Proportional to 1,213.49, 1,674.81 and 771.54

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Solution

The fourth proportional to 1,213.49, 1,674.81 and 771.54 is: 1,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.49 : 1,674.81 = 771.54 : x
  2. Step 2: Convert to fraction form
    1,213.49/1,674.81 = 771.54/x
  3. Step 3: Cross multiply
    1,213.49x = 1,674.81 × 771.54
  4. Step 4: Simplify right side
    1,213.49x = 1,292,176.63
  5. Step 5: Solve for x
    x = 1,292,176.63/1,213.49
  6. Step 6: Final answer
    x = 1,064.84

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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.