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Finding the Fourth Proportional to 443.17, 660.49 and 431.65

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Solution

The fourth proportional to 443.17, 660.49 and 431.65 is: 643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.17 : 660.49 = 431.65 : x
  2. Step 2: Convert to fraction form
    443.17/660.49 = 431.65/x
  3. Step 3: Cross multiply
    443.17x = 660.49 × 431.65
  4. Step 4: Simplify right side
    443.17x = 285,100.51
  5. Step 5: Solve for x
    x = 285,100.51/443.17
  6. Step 6: Final answer
    x = 643.32

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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.