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Finding the Fourth Proportional to 783.96, 1,175.44 and 540.21

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Solution

The fourth proportional to 783.96, 1,175.44 and 540.21 is: 809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,175.44 = 540.21 : x
  2. Step 2: Convert to fraction form
    783.96/1,175.44 = 540.21/x
  3. Step 3: Cross multiply
    783.96x = 1,175.44 × 540.21
  4. Step 4: Simplify right side
    783.96x = 634,984.44
  5. Step 5: Solve for x
    x = 634,984.44/783.96
  6. Step 6: Final answer
    x = 809.97

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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.