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Finding the Fourth Proportional to 783.86, 1,175.88 and 206.78

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Solution

The fourth proportional to 783.86, 1,175.88 and 206.78 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,175.88 = 206.78 : x
  2. Step 2: Convert to fraction form
    783.86/1,175.88 = 206.78/x
  3. Step 3: Cross multiply
    783.86x = 1,175.88 × 206.78
  4. Step 4: Simplify right side
    783.86x = 243,148.47
  5. Step 5: Solve for x
    x = 243,148.47/783.86
  6. Step 6: Final answer
    x = 310.19

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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.