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Finding the Fourth Proportional to 678.65, 1,016.81 and 455.87

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Solution

The fourth proportional to 678.65, 1,016.81 and 455.87 is: 683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.65 : 1,016.81 = 455.87 : x
  2. Step 2: Convert to fraction form
    678.65/1,016.81 = 455.87/x
  3. Step 3: Cross multiply
    678.65x = 1,016.81 × 455.87
  4. Step 4: Simplify right side
    678.65x = 463,531.99
  5. Step 5: Solve for x
    x = 463,531.99/678.65
  6. Step 6: Final answer
    x = 683.02

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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.