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Finding the Fourth Proportional to 669.45, 999.19 and 591.63

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Solution

The fourth proportional to 669.45, 999.19 and 591.63 is: 883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.45 : 999.19 = 591.63 : x
  2. Step 2: Convert to fraction form
    669.45/999.19 = 591.63/x
  3. Step 3: Cross multiply
    669.45x = 999.19 × 591.63
  4. Step 4: Simplify right side
    669.45x = 591,150.78
  5. Step 5: Solve for x
    x = 591,150.78/669.45
  6. Step 6: Final answer
    x = 883.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.