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Finding the Fourth Proportional to 669.47, 1,003.67 and 258.40

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Solution

The fourth proportional to 669.47, 1,003.67 and 258.40 is: 387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 1,003.67 = 258.40 : x
  2. Step 2: Convert to fraction form
    669.47/1,003.67 = 258.40/x
  3. Step 3: Cross multiply
    669.47x = 1,003.67 × 258.40
  4. Step 4: Simplify right side
    669.47x = 259,342.02
  5. Step 5: Solve for x
    x = 259,342.02/669.47
  6. Step 6: Final answer
    x = 387.38

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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.