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Finding the Fourth Proportional to 678.36, 1,018.26 and 293.88

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Solution

The fourth proportional to 678.36, 1,018.26 and 293.88 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.36 : 1,018.26 = 293.88 : x
  2. Step 2: Convert to fraction form
    678.36/1,018.26 = 293.88/x
  3. Step 3: Cross multiply
    678.36x = 1,018.26 × 293.88
  4. Step 4: Simplify right side
    678.36x = 299,246.25
  5. Step 5: Solve for x
    x = 299,246.25/678.36
  6. Step 6: Final answer
    x = 441.13

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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.