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Finding the Fourth Proportional to 758.58, 1,137.87 and 622.57

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Solution

The fourth proportional to 758.58, 1,137.87 and 622.57 is: 933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.58 : 1,137.87 = 622.57 : x
  2. Step 2: Convert to fraction form
    758.58/1,137.87 = 622.57/x
  3. Step 3: Cross multiply
    758.58x = 1,137.87 × 622.57
  4. Step 4: Simplify right side
    758.58x = 708,400.88
  5. Step 5: Solve for x
    x = 708,400.88/758.58
  6. Step 6: Final answer
    x = 933.85

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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.