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Finding the Fourth Proportional to 445.15, 613.71 and 383.64

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Solution

The fourth proportional to 445.15, 613.71 and 383.64 is: 528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.15 : 613.71 = 383.64 : x
  2. Step 2: Convert to fraction form
    445.15/613.71 = 383.64/x
  3. Step 3: Cross multiply
    445.15x = 613.71 × 383.64
  4. Step 4: Simplify right side
    445.15x = 235,443.70
  5. Step 5: Solve for x
    x = 235,443.70/445.15
  6. Step 6: Final answer
    x = 528.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.