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Finding the Fourth Proportional to 678.16, 1,017.84 and 517.84

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Solution

The fourth proportional to 678.16, 1,017.84 and 517.84 is: 777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 1,017.84 = 517.84 : x
  2. Step 2: Convert to fraction form
    678.16/1,017.84 = 517.84/x
  3. Step 3: Cross multiply
    678.16x = 1,017.84 × 517.84
  4. Step 4: Simplify right side
    678.16x = 527,078.27
  5. Step 5: Solve for x
    x = 527,078.27/678.16
  6. Step 6: Final answer
    x = 777.22

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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.