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Finding the Fourth Proportional to 641.97, 885.69 and 421.07

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Solution

The fourth proportional to 641.97, 885.69 and 421.07 is: 580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 885.69 = 421.07 : x
  2. Step 2: Convert to fraction form
    641.97/885.69 = 421.07/x
  3. Step 3: Cross multiply
    641.97x = 885.69 × 421.07
  4. Step 4: Simplify right side
    641.97x = 372,933.06
  5. Step 5: Solve for x
    x = 372,933.06/641.97
  6. Step 6: Final answer
    x = 580.92

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1.5x scale

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.