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Finding the Fourth Proportional to 669.89, 1,005.14 and 259.12

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Solution

The fourth proportional to 669.89, 1,005.14 and 259.12 is: 388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.89 : 1,005.14 = 259.12 : x
  2. Step 2: Convert to fraction form
    669.89/1,005.14 = 259.12/x
  3. Step 3: Cross multiply
    669.89x = 1,005.14 × 259.12
  4. Step 4: Simplify right side
    669.89x = 260,451.88
  5. Step 5: Solve for x
    x = 260,451.88/669.89
  6. Step 6: Final answer
    x = 388.80

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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.