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Finding the Fourth Proportional to 1,328.96, 1,833.77 and 739.61

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Solution

The fourth proportional to 1,328.96, 1,833.77 and 739.61 is: 1,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.96 : 1,833.77 = 739.61 : x
  2. Step 2: Convert to fraction form
    1,328.96/1,833.77 = 739.61/x
  3. Step 3: Cross multiply
    1,328.96x = 1,833.77 × 739.61
  4. Step 4: Simplify right side
    1,328.96x = 1,356,261.76
  5. Step 5: Solve for x
    x = 1,356,261.76/1,328.96
  6. Step 6: Final answer
    x = 1,020.55

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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.