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Finding the Fourth Proportional to 1,298.12, 1,947.96 and 648.88

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Solution

The fourth proportional to 1,298.12, 1,947.96 and 648.88 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.12 : 1,947.96 = 648.88 : x
  2. Step 2: Convert to fraction form
    1,298.12/1,947.96 = 648.88/x
  3. Step 3: Cross multiply
    1,298.12x = 1,947.96 × 648.88
  4. Step 4: Simplify right side
    1,298.12x = 1,263,992.28
  5. Step 5: Solve for x
    x = 1,263,992.28/1,298.12
  6. Step 6: Final answer
    x = 973.71

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1.5x scale

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.