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Finding the Fourth Proportional to 678.98, 1,018.78 and 289.27

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Solution

The fourth proportional to 678.98, 1,018.78 and 289.27 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 1,018.78 = 289.27 : x
  2. Step 2: Convert to fraction form
    678.98/1,018.78 = 289.27/x
  3. Step 3: Cross multiply
    678.98x = 1,018.78 × 289.27
  4. Step 4: Simplify right side
    678.98x = 294,703.04
  5. Step 5: Solve for x
    x = 294,703.04/678.98
  6. Step 6: Final answer
    x = 434.04

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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.