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Finding the Fourth Proportional to 978.15, 1,467.81 and 516.25

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Solution

The fourth proportional to 978.15, 1,467.81 and 516.25 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.15 : 1,467.81 = 516.25 : x
  2. Step 2: Convert to fraction form
    978.15/1,467.81 = 516.25/x
  3. Step 3: Cross multiply
    978.15x = 1,467.81 × 516.25
  4. Step 4: Simplify right side
    978.15x = 757,756.91
  5. Step 5: Solve for x
    x = 757,756.91/978.15
  6. Step 6: Final answer
    x = 774.68

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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.