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Finding the Fourth Proportional to 678.55, 1,017.84 and 404.83

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Solution

The fourth proportional to 678.55, 1,017.84 and 404.83 is: 607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.55 : 1,017.84 = 404.83 : x
  2. Step 2: Convert to fraction form
    678.55/1,017.84 = 404.83/x
  3. Step 3: Cross multiply
    678.55x = 1,017.84 × 404.83
  4. Step 4: Simplify right side
    678.55x = 412,052.17
  5. Step 5: Solve for x
    x = 412,052.17/678.55
  6. Step 6: Final answer
    x = 607.25

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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.