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Finding the Fourth Proportional to 1,055.86, 1,455.37 and 845.66

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Solution

The fourth proportional to 1,055.86, 1,455.37 and 845.66 is: 1,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.86 : 1,455.37 = 845.66 : x
  2. Step 2: Convert to fraction form
    1,055.86/1,455.37 = 845.66/x
  3. Step 3: Cross multiply
    1,055.86x = 1,455.37 × 845.66
  4. Step 4: Simplify right side
    1,055.86x = 1,230,749.72
  5. Step 5: Solve for x
    x = 1,230,749.72/1,055.86
  6. Step 6: Final answer
    x = 1,165.64

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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.