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Finding the Fourth Proportional to 1,161.86, 1,739.36 and 612.86

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Solution

The fourth proportional to 1,161.86, 1,739.36 and 612.86 is: 917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.86 : 1,739.36 = 612.86 : x
  2. Step 2: Convert to fraction form
    1,161.86/1,739.36 = 612.86/x
  3. Step 3: Cross multiply
    1,161.86x = 1,739.36 × 612.86
  4. Step 4: Simplify right side
    1,161.86x = 1,065,984.17
  5. Step 5: Solve for x
    x = 1,065,984.17/1,161.86
  6. Step 6: Final answer
    x = 917.48

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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.