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Finding the Fourth Proportional to 641.88, 886.26 and 435

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Solution

The fourth proportional to 641.88, 886.26 and 435 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 886.26 = 435 : x
  2. Step 2: Convert to fraction form
    641.88/886.26 = 435/x
  3. Step 3: Cross multiply
    641.88x = 886.26 × 435
  4. Step 4: Simplify right side
    641.88x = 385,523.10
  5. Step 5: Solve for x
    x = 385,523.10/641.88
  6. Step 6: Final answer
    x = 600.62

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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.