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Finding the Fourth Proportional to 678.65, 1,017.96 and 313.44

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Solution

The fourth proportional to 678.65, 1,017.96 and 313.44 is: 470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.65 : 1,017.96 = 313.44 : x
  2. Step 2: Convert to fraction form
    678.65/1,017.96 = 313.44/x
  3. Step 3: Cross multiply
    678.65x = 1,017.96 × 313.44
  4. Step 4: Simplify right side
    678.65x = 319,065.57
  5. Step 5: Solve for x
    x = 319,065.57/678.65
  6. Step 6: Final answer
    x = 470.15

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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.