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Finding the Fourth Proportional to 783.82, 1,175.87 and 350.98

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Solution

The fourth proportional to 783.82, 1,175.87 and 350.98 is: 526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,175.87 = 350.98 : x
  2. Step 2: Convert to fraction form
    783.82/1,175.87 = 350.98/x
  3. Step 3: Cross multiply
    783.82x = 1,175.87 × 350.98
  4. Step 4: Simplify right side
    783.82x = 412,706.85
  5. Step 5: Solve for x
    x = 412,706.85/783.82
  6. Step 6: Final answer
    x = 526.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.