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Finding the Fourth Proportional to 1,262.86, 1,742.76 and 739.06

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Solution

The fourth proportional to 1,262.86, 1,742.76 and 739.06 is: 1,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.86 : 1,742.76 = 739.06 : x
  2. Step 2: Convert to fraction form
    1,262.86/1,742.76 = 739.06/x
  3. Step 3: Cross multiply
    1,262.86x = 1,742.76 × 739.06
  4. Step 4: Simplify right side
    1,262.86x = 1,288,004.21
  5. Step 5: Solve for x
    x = 1,288,004.21/1,262.86
  6. Step 6: Final answer
    x = 1,019.91

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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.