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Finding the Fourth Proportional to 678.69, 936.03 and 521.07

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Solution

The fourth proportional to 678.69, 936.03 and 521.07 is: 718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.69 : 936.03 = 521.07 : x
  2. Step 2: Convert to fraction form
    678.69/936.03 = 521.07/x
  3. Step 3: Cross multiply
    678.69x = 936.03 × 521.07
  4. Step 4: Simplify right side
    678.69x = 487,737.15
  5. Step 5: Solve for x
    x = 487,737.15/678.69
  6. Step 6: Final answer
    x = 718.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.