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Finding the Fourth Proportional to 756.51, 1,135.25 and 410.09

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Solution

The fourth proportional to 756.51, 1,135.25 and 410.09 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.51 : 1,135.25 = 410.09 : x
  2. Step 2: Convert to fraction form
    756.51/1,135.25 = 410.09/x
  3. Step 3: Cross multiply
    756.51x = 1,135.25 × 410.09
  4. Step 4: Simplify right side
    756.51x = 465,546.95
  5. Step 5: Solve for x
    x = 465,546.95/756.51
  6. Step 6: Final answer
    x = 615.39

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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.