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Finding the Fourth Proportional to 949.00, 1,308.80 and 617.30

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Solution

The fourth proportional to 949.00, 1,308.80 and 617.30 is: 851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.00 : 1,308.80 = 617.30 : x
  2. Step 2: Convert to fraction form
    949.00/1,308.80 = 617.30/x
  3. Step 3: Cross multiply
    949.00x = 1,308.80 × 617.30
  4. Step 4: Simplify right side
    949.00x = 807,919.15
  5. Step 5: Solve for x
    x = 807,919.15/949.00
  6. Step 6: Final answer
    x = 851.34

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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.