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Finding the Fourth Proportional to 1,055.35, 1,455.42 and 806.21

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Solution

The fourth proportional to 1,055.35, 1,455.42 and 806.21 is: 1,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.35 : 1,455.42 = 806.21 : x
  2. Step 2: Convert to fraction form
    1,055.35/1,455.42 = 806.21/x
  3. Step 3: Cross multiply
    1,055.35x = 1,455.42 × 806.21
  4. Step 4: Simplify right side
    1,055.35x = 1,173,374.16
  5. Step 5: Solve for x
    x = 1,173,374.16/1,055.35
  6. Step 6: Final answer
    x = 1,111.83

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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.