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Finding the Fourth Proportional to 678.07, 1,016.91 and 418.03

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Solution

The fourth proportional to 678.07, 1,016.91 and 418.03 is: 626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.07 : 1,016.91 = 418.03 : x
  2. Step 2: Convert to fraction form
    678.07/1,016.91 = 418.03/x
  3. Step 3: Cross multiply
    678.07x = 1,016.91 × 418.03
  4. Step 4: Simplify right side
    678.07x = 425,098.89
  5. Step 5: Solve for x
    x = 425,098.89/678.07
  6. Step 6: Final answer
    x = 626.92

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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.