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Finding the Fourth Proportional to 758.05, 1,137.44 and 347.65

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Solution

The fourth proportional to 758.05, 1,137.44 and 347.65 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.05 : 1,137.44 = 347.65 : x
  2. Step 2: Convert to fraction form
    758.05/1,137.44 = 347.65/x
  3. Step 3: Cross multiply
    758.05x = 1,137.44 × 347.65
  4. Step 4: Simplify right side
    758.05x = 395,431.02
  5. Step 5: Solve for x
    x = 395,431.02/758.05
  6. Step 6: Final answer
    x = 521.64

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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.