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Finding the Fourth Proportional to 445.19, 666.74 and 429.81

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Solution

The fourth proportional to 445.19, 666.74 and 429.81 is: 643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.19 : 666.74 = 429.81 : x
  2. Step 2: Convert to fraction form
    445.19/666.74 = 429.81/x
  3. Step 3: Cross multiply
    445.19x = 666.74 × 429.81
  4. Step 4: Simplify right side
    445.19x = 286,569.37
  5. Step 5: Solve for x
    x = 286,569.37/445.19
  6. Step 6: Final answer
    x = 643.71

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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.