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Finding the Fourth Proportional to 1,309.76, 1,806.96 and 749.93

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Solution

The fourth proportional to 1,309.76, 1,806.96 and 749.93 is: 1,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.76 : 1,806.96 = 749.93 : x
  2. Step 2: Convert to fraction form
    1,309.76/1,806.96 = 749.93/x
  3. Step 3: Cross multiply
    1,309.76x = 1,806.96 × 749.93
  4. Step 4: Simplify right side
    1,309.76x = 1,355,093.51
  5. Step 5: Solve for x
    x = 1,355,093.51/1,309.76
  6. Step 6: Final answer
    x = 1,034.61

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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.