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Finding the Fourth Proportional to 758.20, 1,137.71 and 319.75

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Solution

The fourth proportional to 758.20, 1,137.71 and 319.75 is: 479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.20 : 1,137.71 = 319.75 : x
  2. Step 2: Convert to fraction form
    758.20/1,137.71 = 319.75/x
  3. Step 3: Cross multiply
    758.20x = 1,137.71 × 319.75
  4. Step 4: Simplify right side
    758.20x = 363,782.77
  5. Step 5: Solve for x
    x = 363,782.77/758.20
  6. Step 6: Final answer
    x = 479.80

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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.