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Finding the Fourth Proportional to 446.56, 666.64 and 431.36

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Solution

The fourth proportional to 446.56, 666.64 and 431.36 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 666.64 = 431.36 : x
  2. Step 2: Convert to fraction form
    446.56/666.64 = 431.36/x
  3. Step 3: Cross multiply
    446.56x = 666.64 × 431.36
  4. Step 4: Simplify right side
    446.56x = 287,561.83
  5. Step 5: Solve for x
    x = 287,561.83/446.56
  6. Step 6: Final answer
    x = 643.95

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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.