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Finding the Fourth Proportional to 1,131.74, 1,562.19 and 683.86

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Solution

The fourth proportional to 1,131.74, 1,562.19 and 683.86 is: 943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.74 : 1,562.19 = 683.86 : x
  2. Step 2: Convert to fraction form
    1,131.74/1,562.19 = 683.86/x
  3. Step 3: Cross multiply
    1,131.74x = 1,562.19 × 683.86
  4. Step 4: Simplify right side
    1,131.74x = 1,068,328.07
  5. Step 5: Solve for x
    x = 1,068,328.07/1,131.74
  6. Step 6: Final answer
    x = 943.97

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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.