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Finding the Fourth Proportional to 678.18, 936.06 and 429.39

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Solution

The fourth proportional to 678.18, 936.06 and 429.39 is: 592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.18 : 936.06 = 429.39 : x
  2. Step 2: Convert to fraction form
    678.18/936.06 = 429.39/x
  3. Step 3: Cross multiply
    678.18x = 936.06 × 429.39
  4. Step 4: Simplify right side
    678.18x = 401,934.80
  5. Step 5: Solve for x
    x = 401,934.80/678.18
  6. Step 6: Final answer
    x = 592.67

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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.