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Finding the Fourth Proportional to 783.83, 1,175.76 and 206.71

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Solution

The fourth proportional to 783.83, 1,175.76 and 206.71 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.83 : 1,175.76 = 206.71 : x
  2. Step 2: Convert to fraction form
    783.83/1,175.76 = 206.71/x
  3. Step 3: Cross multiply
    783.83x = 1,175.76 × 206.71
  4. Step 4: Simplify right side
    783.83x = 243,034.44
  5. Step 5: Solve for x
    x = 243,034.44/783.83
  6. Step 6: Final answer
    x = 310.06

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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.