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Finding the Fourth Proportional to 678.16, 1,017.86 and 504.42

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Solution

The fourth proportional to 678.16, 1,017.86 and 504.42 is: 757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 1,017.86 = 504.42 : x
  2. Step 2: Convert to fraction form
    678.16/1,017.86 = 504.42/x
  3. Step 3: Cross multiply
    678.16x = 1,017.86 × 504.42
  4. Step 4: Simplify right side
    678.16x = 513,428.94
  5. Step 5: Solve for x
    x = 513,428.94/678.16
  6. Step 6: Final answer
    x = 757.09

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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.