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Finding the Fourth Proportional to 641.69, 885.18 and 431.51

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Solution

The fourth proportional to 641.69, 885.18 and 431.51 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.69 : 885.18 = 431.51 : x
  2. Step 2: Convert to fraction form
    641.69/885.18 = 431.51/x
  3. Step 3: Cross multiply
    641.69x = 885.18 × 431.51
  4. Step 4: Simplify right side
    641.69x = 381,964.02
  5. Step 5: Solve for x
    x = 381,964.02/641.69
  6. Step 6: Final answer
    x = 595.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.