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Finding the Fourth Proportional to 450.28, 619.32 and 384.64

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Solution

The fourth proportional to 450.28, 619.32 and 384.64 is: 529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.28 : 619.32 = 384.64 : x
  2. Step 2: Convert to fraction form
    450.28/619.32 = 384.64/x
  3. Step 3: Cross multiply
    450.28x = 619.32 × 384.64
  4. Step 4: Simplify right side
    450.28x = 238,215.24
  5. Step 5: Solve for x
    x = 238,215.24/450.28
  6. Step 6: Final answer
    x = 529.04

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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.