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Finding the Fourth Proportional to 651.44, 978.08 and 445.50

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Solution

The fourth proportional to 651.44, 978.08 and 445.50 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.44 : 978.08 = 445.50 : x
  2. Step 2: Convert to fraction form
    651.44/978.08 = 445.50/x
  3. Step 3: Cross multiply
    651.44x = 978.08 × 445.50
  4. Step 4: Simplify right side
    651.44x = 435,732.41
  5. Step 5: Solve for x
    x = 435,732.41/651.44
  6. Step 6: Final answer
    x = 668.87

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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.