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Finding the Fourth Proportional to 949.30, 1,309.43 and 613.64

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Solution

The fourth proportional to 949.30, 1,309.43 and 613.64 is: 846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.30 : 1,309.43 = 613.64 : x
  2. Step 2: Convert to fraction form
    949.30/1,309.43 = 613.64/x
  3. Step 3: Cross multiply
    949.30x = 1,309.43 × 613.64
  4. Step 4: Simplify right side
    949.30x = 803,518.63
  5. Step 5: Solve for x
    x = 803,518.63/949.30
  6. Step 6: Final answer
    x = 846.43

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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.