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Finding the Fourth Proportional to 1,131.86, 1,696.99 and 437.95

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Solution

The fourth proportional to 1,131.86, 1,696.99 and 437.95 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.86 : 1,696.99 = 437.95 : x
  2. Step 2: Convert to fraction form
    1,131.86/1,696.99 = 437.95/x
  3. Step 3: Cross multiply
    1,131.86x = 1,696.99 × 437.95
  4. Step 4: Simplify right side
    1,131.86x = 743,189.07
  5. Step 5: Solve for x
    x = 743,189.07/1,131.86
  6. Step 6: Final answer
    x = 656.61

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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.