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Finding the Fourth Proportional to 949, 1,308.78 and 617.12

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Solution

The fourth proportional to 949, 1,308.78 and 617.12 is: 851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949 : 1,308.78 = 617.12 : x
  2. Step 2: Convert to fraction form
    949/1,308.78 = 617.12/x
  3. Step 3: Cross multiply
    949x = 1,308.78 × 617.12
  4. Step 4: Simplify right side
    949x = 807,674.31
  5. Step 5: Solve for x
    x = 807,674.31/949
  6. Step 6: Final answer
    x = 851.08

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1.5x scale

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.