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Finding the Fourth Proportional to 1,391.79, 1,921 and 832.59

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Solution

The fourth proportional to 1,391.79, 1,921 and 832.59 is: 1,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.79 : 1,921 = 832.59 : x
  2. Step 2: Convert to fraction form
    1,391.79/1,921 = 832.59/x
  3. Step 3: Cross multiply
    1,391.79x = 1,921 × 832.59
  4. Step 4: Simplify right side
    1,391.79x = 1,599,395.79
  5. Step 5: Solve for x
    x = 1,599,395.79/1,391.79
  6. Step 6: Final answer
    x = 1,149.17

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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.