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Finding the Fourth Proportional to 678.63, 1,017.99 and 239.93

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Solution

The fourth proportional to 678.63, 1,017.99 and 239.93 is: 359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.63 : 1,017.99 = 239.93 : x
  2. Step 2: Convert to fraction form
    678.63/1,017.99 = 239.93/x
  3. Step 3: Cross multiply
    678.63x = 1,017.99 × 239.93
  4. Step 4: Simplify right side
    678.63x = 244,241.25
  5. Step 5: Solve for x
    x = 244,241.25/678.63
  6. Step 6: Final answer
    x = 359.90

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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.