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Finding the Fourth Proportional to 1,505.16, 2,076.93 and 842.04

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Solution

The fourth proportional to 1,505.16, 2,076.93 and 842.04 is: 1,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.16 : 2,076.93 = 842.04 : x
  2. Step 2: Convert to fraction form
    1,505.16/2,076.93 = 842.04/x
  3. Step 3: Cross multiply
    1,505.16x = 2,076.93 × 842.04
  4. Step 4: Simplify right side
    1,505.16x = 1,748,858.14
  5. Step 5: Solve for x
    x = 1,748,858.14/1,505.16
  6. Step 6: Final answer
    x = 1,161.91

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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.