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Finding the Fourth Proportional to 783.41, 1,175.27 and 350.57

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Solution

The fourth proportional to 783.41, 1,175.27 and 350.57 is: 525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.41 : 1,175.27 = 350.57 : x
  2. Step 2: Convert to fraction form
    783.41/1,175.27 = 350.57/x
  3. Step 3: Cross multiply
    783.41x = 1,175.27 × 350.57
  4. Step 4: Simplify right side
    783.41x = 412,006.77
  5. Step 5: Solve for x
    x = 412,006.77/783.41
  6. Step 6: Final answer
    x = 525.91

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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.