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Finding the Fourth Proportional to 1,552.22, 2,327.49 and 770.51

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Solution

The fourth proportional to 1,552.22, 2,327.49 and 770.51 is: 1,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.22 : 2,327.49 = 770.51 : x
  2. Step 2: Convert to fraction form
    1,552.22/2,327.49 = 770.51/x
  3. Step 3: Cross multiply
    1,552.22x = 2,327.49 × 770.51
  4. Step 4: Simplify right side
    1,552.22x = 1,793,342.68
  5. Step 5: Solve for x
    x = 1,793,342.68/1,552.22
  6. Step 6: Final answer
    x = 1,155.34

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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.