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Finding the Fourth Proportional to 1,043.79, 1,440.68 and 764.43

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Solution

The fourth proportional to 1,043.79, 1,440.68 and 764.43 is: 1,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.79 : 1,440.68 = 764.43 : x
  2. Step 2: Convert to fraction form
    1,043.79/1,440.68 = 764.43/x
  3. Step 3: Cross multiply
    1,043.79x = 1,440.68 × 764.43
  4. Step 4: Simplify right side
    1,043.79x = 1,101,295.19
  5. Step 5: Solve for x
    x = 1,101,295.19/1,043.79
  6. Step 6: Final answer
    x = 1,055.09

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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.