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Finding the Fourth Proportional to 949.09, 1,421.24 and 640.61

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Solution

The fourth proportional to 949.09, 1,421.24 and 640.61 is: 959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.09 : 1,421.24 = 640.61 : x
  2. Step 2: Convert to fraction form
    949.09/1,421.24 = 640.61/x
  3. Step 3: Cross multiply
    949.09x = 1,421.24 × 640.61
  4. Step 4: Simplify right side
    949.09x = 910,457.35
  5. Step 5: Solve for x
    x = 910,457.35/949.09
  6. Step 6: Final answer
    x = 959.30

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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.