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Finding the Fourth Proportional to 1,505.28, 2,076.93 and 842.16

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Solution

The fourth proportional to 1,505.28, 2,076.93 and 842.16 is: 1,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.28 : 2,076.93 = 842.16 : x
  2. Step 2: Convert to fraction form
    1,505.28/2,076.93 = 842.16/x
  3. Step 3: Cross multiply
    1,505.28x = 2,076.93 × 842.16
  4. Step 4: Simplify right side
    1,505.28x = 1,749,107.37
  5. Step 5: Solve for x
    x = 1,749,107.37/1,505.28
  6. Step 6: Final answer
    x = 1,161.98

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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.