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Finding the Fourth Proportional to 1,238.77, 1,858.09 and 751.69

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Solution

The fourth proportional to 1,238.77, 1,858.09 and 751.69 is: 1,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.77 : 1,858.09 = 751.69 : x
  2. Step 2: Convert to fraction form
    1,238.77/1,858.09 = 751.69/x
  3. Step 3: Cross multiply
    1,238.77x = 1,858.09 × 751.69
  4. Step 4: Simplify right side
    1,238.77x = 1,396,707.67
  5. Step 5: Solve for x
    x = 1,396,707.67/1,238.77
  6. Step 6: Final answer
    x = 1,127.50

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1.5x scale

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.