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Finding the Fourth Proportional to 641.45, 959.18 and 458.28

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Solution

The fourth proportional to 641.45, 959.18 and 458.28 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.45 : 959.18 = 458.28 : x
  2. Step 2: Convert to fraction form
    641.45/959.18 = 458.28/x
  3. Step 3: Cross multiply
    641.45x = 959.18 × 458.28
  4. Step 4: Simplify right side
    641.45x = 439,570.72
  5. Step 5: Solve for x
    x = 439,570.72/641.45
  6. Step 6: Final answer
    x = 685.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.