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Finding the Fourth Proportional to 783.91, 1,175.86 and 399.43

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Solution

The fourth proportional to 783.91, 1,175.86 and 399.43 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.91 : 1,175.86 = 399.43 : x
  2. Step 2: Convert to fraction form
    783.91/1,175.86 = 399.43/x
  3. Step 3: Cross multiply
    783.91x = 1,175.86 × 399.43
  4. Step 4: Simplify right side
    783.91x = 469,667.88
  5. Step 5: Solve for x
    x = 469,667.88/783.91
  6. Step 6: Final answer
    x = 599.14

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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.