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Finding the Fourth Proportional to 783.10, 1,174.43 and 263.11

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Solution

The fourth proportional to 783.10, 1,174.43 and 263.11 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.10 : 1,174.43 = 263.11 : x
  2. Step 2: Convert to fraction form
    783.10/1,174.43 = 263.11/x
  3. Step 3: Cross multiply
    783.10x = 1,174.43 × 263.11
  4. Step 4: Simplify right side
    783.10x = 308,997.09
  5. Step 5: Solve for x
    x = 308,997.09/783.10
  6. Step 6: Final answer
    x = 394.58

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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.