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Finding the Fourth Proportional to 695.86, 1,037.56 and 683.56

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Solution

The fourth proportional to 695.86, 1,037.56 and 683.56 is: 1,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.86 : 1,037.56 = 683.56 : x
  2. Step 2: Convert to fraction form
    695.86/1,037.56 = 683.56/x
  3. Step 3: Cross multiply
    695.86x = 1,037.56 × 683.56
  4. Step 4: Simplify right side
    695.86x = 709,234.51
  5. Step 5: Solve for x
    x = 709,234.51/695.86
  6. Step 6: Final answer
    x = 1,019.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.