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Finding the Fourth Proportional to 446.53, 669.01 and 429.67

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Solution

The fourth proportional to 446.53, 669.01 and 429.67 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.53 : 669.01 = 429.67 : x
  2. Step 2: Convert to fraction form
    446.53/669.01 = 429.67/x
  3. Step 3: Cross multiply
    446.53x = 669.01 × 429.67
  4. Step 4: Simplify right side
    446.53x = 287,454.09
  5. Step 5: Solve for x
    x = 287,454.09/446.53
  6. Step 6: Final answer
    x = 643.75

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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.