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Finding the Fourth Proportional to 650.20, 897.28 and 384.72

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Solution

The fourth proportional to 650.20, 897.28 and 384.72 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 897.28 = 384.72 : x
  2. Step 2: Convert to fraction form
    650.20/897.28 = 384.72/x
  3. Step 3: Cross multiply
    650.20x = 897.28 × 384.72
  4. Step 4: Simplify right side
    650.20x = 345,201.56
  5. Step 5: Solve for x
    x = 345,201.56/650.20
  6. Step 6: Final answer
    x = 530.92

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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.