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Finding the Fourth Proportional to 783.36, 1,174.23 and 371.88

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Solution

The fourth proportional to 783.36, 1,174.23 and 371.88 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,174.23 = 371.88 : x
  2. Step 2: Convert to fraction form
    783.36/1,174.23 = 371.88/x
  3. Step 3: Cross multiply
    783.36x = 1,174.23 × 371.88
  4. Step 4: Simplify right side
    783.36x = 436,672.65
  5. Step 5: Solve for x
    x = 436,672.65/783.36
  6. Step 6: Final answer
    x = 557.44

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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.