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Finding the Fourth Proportional to 783.50, 1,175.24 and 206.37

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Solution

The fourth proportional to 783.50, 1,175.24 and 206.37 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.50 : 1,175.24 = 206.37 : x
  2. Step 2: Convert to fraction form
    783.50/1,175.24 = 206.37/x
  3. Step 3: Cross multiply
    783.50x = 1,175.24 × 206.37
  4. Step 4: Simplify right side
    783.50x = 242,534.79
  5. Step 5: Solve for x
    x = 242,534.79/783.50
  6. Step 6: Final answer
    x = 309.56

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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.