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Finding the Fourth Proportional to 617.45, 851.73 and 384.71

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Solution

The fourth proportional to 617.45, 851.73 and 384.71 is: 530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.45 : 851.73 = 384.71 : x
  2. Step 2: Convert to fraction form
    617.45/851.73 = 384.71/x
  3. Step 3: Cross multiply
    617.45x = 851.73 × 384.71
  4. Step 4: Simplify right side
    617.45x = 327,669.05
  5. Step 5: Solve for x
    x = 327,669.05/617.45
  6. Step 6: Final answer
    x = 530.68

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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.