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Finding the Fourth Proportional to 947.94, 1,422.13 and 298.66

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Solution

The fourth proportional to 947.94, 1,422.13 and 298.66 is: 448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,422.13 = 298.66 : x
  2. Step 2: Convert to fraction form
    947.94/1,422.13 = 298.66/x
  3. Step 3: Cross multiply
    947.94x = 1,422.13 × 298.66
  4. Step 4: Simplify right side
    947.94x = 424,729.04
  5. Step 5: Solve for x
    x = 424,729.04/947.94
  6. Step 6: Final answer
    x = 448.05

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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.