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Finding the Fourth Proportional to 875.60, 1,208.17 and 539.38

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Solution

The fourth proportional to 875.60, 1,208.17 and 539.38 is: 744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.60 : 1,208.17 = 539.38 : x
  2. Step 2: Convert to fraction form
    875.60/1,208.17 = 539.38/x
  3. Step 3: Cross multiply
    875.60x = 1,208.17 × 539.38
  4. Step 4: Simplify right side
    875.60x = 651,662.73
  5. Step 5: Solve for x
    x = 651,662.73/875.60
  6. Step 6: Final answer
    x = 744.25

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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.