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Finding the Fourth Proportional to 1,330.50, 1,836.35 and 771.09

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Solution

The fourth proportional to 1,330.50, 1,836.35 and 771.09 is: 1,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.50 : 1,836.35 = 771.09 : x
  2. Step 2: Convert to fraction form
    1,330.50/1,836.35 = 771.09/x
  3. Step 3: Cross multiply
    1,330.50x = 1,836.35 × 771.09
  4. Step 4: Simplify right side
    1,330.50x = 1,415,993.05
  5. Step 5: Solve for x
    x = 1,415,993.05/1,330.50
  6. Step 6: Final answer
    x = 1,064.26

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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.