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Finding the Fourth Proportional to 783.28, 1,175.07 and 350.44

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Solution

The fourth proportional to 783.28, 1,175.07 and 350.44 is: 525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.28 : 1,175.07 = 350.44 : x
  2. Step 2: Convert to fraction form
    783.28/1,175.07 = 350.44/x
  3. Step 3: Cross multiply
    783.28x = 1,175.07 × 350.44
  4. Step 4: Simplify right side
    783.28x = 411,789.91
  5. Step 5: Solve for x
    x = 411,789.91/783.28
  6. Step 6: Final answer
    x = 525.72

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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.