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Finding the Fourth Proportional to 759.85, 1,140.78 and 451.85

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Solution

The fourth proportional to 759.85, 1,140.78 and 451.85 is: 678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.85 : 1,140.78 = 451.85 : x
  2. Step 2: Convert to fraction form
    759.85/1,140.78 = 451.85/x
  3. Step 3: Cross multiply
    759.85x = 1,140.78 × 451.85
  4. Step 4: Simplify right side
    759.85x = 515,457.43
  5. Step 5: Solve for x
    x = 515,457.43/759.85
  6. Step 6: Final answer
    x = 678.37

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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.