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Finding the Fourth Proportional to 1,108.15, 1,661.83 and 587.86

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Solution

The fourth proportional to 1,108.15, 1,661.83 and 587.86 is: 881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.15 : 1,661.83 = 587.86 : x
  2. Step 2: Convert to fraction form
    1,108.15/1,661.83 = 587.86/x
  3. Step 3: Cross multiply
    1,108.15x = 1,661.83 × 587.86
  4. Step 4: Simplify right side
    1,108.15x = 976,917.76
  5. Step 5: Solve for x
    x = 976,917.76/1,108.15
  6. Step 6: Final answer
    x = 881.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.