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Finding the Fourth Proportional to 1,869.76, 2,804.97 and 773.51

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Solution

The fourth proportional to 1,869.76, 2,804.97 and 773.51 is: 1,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.76 : 2,804.97 = 773.51 : x
  2. Step 2: Convert to fraction form
    1,869.76/2,804.97 = 773.51/x
  3. Step 3: Cross multiply
    1,869.76x = 2,804.97 × 773.51
  4. Step 4: Simplify right side
    1,869.76x = 2,169,672.34
  5. Step 5: Solve for x
    x = 2,169,672.34/1,869.76
  6. Step 6: Final answer
    x = 1,160.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.