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Finding the Fourth Proportional to 783.71, 1,175.75 and 263.70

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Solution

The fourth proportional to 783.71, 1,175.75 and 263.70 is: 395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.71 : 1,175.75 = 263.70 : x
  2. Step 2: Convert to fraction form
    783.71/1,175.75 = 263.70/x
  3. Step 3: Cross multiply
    783.71x = 1,175.75 × 263.70
  4. Step 4: Simplify right side
    783.71x = 310,048.05
  5. Step 5: Solve for x
    x = 310,048.05/783.71
  6. Step 6: Final answer
    x = 395.61

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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.