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Finding the Fourth Proportional to 1,736.86, 2,605.12 and 812.60

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Solution

The fourth proportional to 1,736.86, 2,605.12 and 812.60 is: 1,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.86 : 2,605.12 = 812.60 : x
  2. Step 2: Convert to fraction form
    1,736.86/2,605.12 = 812.60/x
  3. Step 3: Cross multiply
    1,736.86x = 2,605.12 × 812.60
  4. Step 4: Simplify right side
    1,736.86x = 2,116,920.51
  5. Step 5: Solve for x
    x = 2,116,920.51/1,736.86
  6. Step 6: Final answer
    x = 1,218.82

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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.