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Finding the Fourth Proportional to 1,214.09, 1,675.49 and 771.98

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Solution

The fourth proportional to 1,214.09, 1,675.49 and 771.98 is: 1,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.09 : 1,675.49 = 771.98 : x
  2. Step 2: Convert to fraction form
    1,214.09/1,675.49 = 771.98/x
  3. Step 3: Cross multiply
    1,214.09x = 1,675.49 × 771.98
  4. Step 4: Simplify right side
    1,214.09x = 1,293,441.96
  5. Step 5: Solve for x
    x = 1,293,441.96/1,214.09
  6. Step 6: Final answer
    x = 1,065.36

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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.