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Finding the Fourth Proportional to 788.96, 1,087.64 and 539.89

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Solution

The fourth proportional to 788.96, 1,087.64 and 539.89 is: 744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.96 : 1,087.64 = 539.89 : x
  2. Step 2: Convert to fraction form
    788.96/1,087.64 = 539.89/x
  3. Step 3: Cross multiply
    788.96x = 1,087.64 × 539.89
  4. Step 4: Simplify right side
    788.96x = 587,204.59
  5. Step 5: Solve for x
    x = 587,204.59/788.96
  6. Step 6: Final answer
    x = 744.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.