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Finding the Fourth Proportional to 678.65, 1,012.85 and 613.04

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Solution

The fourth proportional to 678.65, 1,012.85 and 613.04 is: 914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.65 : 1,012.85 = 613.04 : x
  2. Step 2: Convert to fraction form
    678.65/1,012.85 = 613.04/x
  3. Step 3: Cross multiply
    678.65x = 1,012.85 × 613.04
  4. Step 4: Simplify right side
    678.65x = 620,923.73
  5. Step 5: Solve for x
    x = 620,923.73/678.65
  6. Step 6: Final answer
    x = 914.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.