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Finding the Fourth Proportional to 669.45, 1,004.36 and 207.25

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Solution

The fourth proportional to 669.45, 1,004.36 and 207.25 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.45 : 1,004.36 = 207.25 : x
  2. Step 2: Convert to fraction form
    669.45/1,004.36 = 207.25/x
  3. Step 3: Cross multiply
    669.45x = 1,004.36 × 207.25
  4. Step 4: Simplify right side
    669.45x = 208,151.23
  5. Step 5: Solve for x
    x = 208,151.23/669.45
  6. Step 6: Final answer
    x = 310.93

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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.