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Finding the Fourth Proportional to 678.99, 1,018.22 and 289.17

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Solution

The fourth proportional to 678.99, 1,018.22 and 289.17 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.99 : 1,018.22 = 289.17 : x
  2. Step 2: Convert to fraction form
    678.99/1,018.22 = 289.17/x
  3. Step 3: Cross multiply
    678.99x = 1,018.22 × 289.17
  4. Step 4: Simplify right side
    678.99x = 294,432.14
  5. Step 5: Solve for x
    x = 294,432.14/678.99
  6. Step 6: Final answer
    x = 433.64

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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.