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Finding the Fourth Proportional to 756.73, 1,135.16 and 208.92

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Solution

The fourth proportional to 756.73, 1,135.16 and 208.92 is: 313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.73 : 1,135.16 = 208.92 : x
  2. Step 2: Convert to fraction form
    756.73/1,135.16 = 208.92/x
  3. Step 3: Cross multiply
    756.73x = 1,135.16 × 208.92
  4. Step 4: Simplify right side
    756.73x = 237,157.63
  5. Step 5: Solve for x
    x = 237,157.63/756.73
  6. Step 6: Final answer
    x = 313.40

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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.