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Finding the Fourth Proportional to 641.15, 959.35 and 406.02

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Solution

The fourth proportional to 641.15, 959.35 and 406.02 is: 607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.15 : 959.35 = 406.02 : x
  2. Step 2: Convert to fraction form
    641.15/959.35 = 406.02/x
  3. Step 3: Cross multiply
    641.15x = 959.35 × 406.02
  4. Step 4: Simplify right side
    641.15x = 389,515.29
  5. Step 5: Solve for x
    x = 389,515.29/641.15
  6. Step 6: Final answer
    x = 607.53

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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.