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Finding the Fourth Proportional to 678.94, 1,017.70 and 313.97

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Solution

The fourth proportional to 678.94, 1,017.70 and 313.97 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.94 : 1,017.70 = 313.97 : x
  2. Step 2: Convert to fraction form
    678.94/1,017.70 = 313.97/x
  3. Step 3: Cross multiply
    678.94x = 1,017.70 × 313.97
  4. Step 4: Simplify right side
    678.94x = 319,521.40
  5. Step 5: Solve for x
    x = 319,521.40/678.94
  6. Step 6: Final answer
    x = 470.62

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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.