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Finding the Fourth Proportional to 678.57, 1,018.16 and 369.96

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Solution

The fourth proportional to 678.57, 1,018.16 and 369.96 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.57 : 1,018.16 = 369.96 : x
  2. Step 2: Convert to fraction form
    678.57/1,018.16 = 369.96/x
  3. Step 3: Cross multiply
    678.57x = 1,018.16 × 369.96
  4. Step 4: Simplify right side
    678.57x = 376,673.38
  5. Step 5: Solve for x
    x = 376,673.38/678.57
  6. Step 6: Final answer
    x = 555.10

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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.