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Finding the Fourth Proportional to 669.18, 1,004.57 and 446.99

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Solution

The fourth proportional to 669.18, 1,004.57 and 446.99 is: 671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 1,004.57 = 446.99 : x
  2. Step 2: Convert to fraction form
    669.18/1,004.57 = 446.99/x
  3. Step 3: Cross multiply
    669.18x = 1,004.57 × 446.99
  4. Step 4: Simplify right side
    669.18x = 449,025.49
  5. Step 5: Solve for x
    x = 449,025.49/669.18
  6. Step 6: Final answer
    x = 671.01

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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.