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Finding the Fourth Proportional to 669.97, 1,004.42 and 258.90

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Solution

The fourth proportional to 669.97, 1,004.42 and 258.90 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.97 : 1,004.42 = 258.90 : x
  2. Step 2: Convert to fraction form
    669.97/1,004.42 = 258.90/x
  3. Step 3: Cross multiply
    669.97x = 1,004.42 × 258.90
  4. Step 4: Simplify right side
    669.97x = 260,038.02
  5. Step 5: Solve for x
    x = 260,038.02/669.97
  6. Step 6: Final answer
    x = 388.13

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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.