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Finding the Fourth Proportional to 617.49, 851.80 and 384.21

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Solution

The fourth proportional to 617.49, 851.80 and 384.21 is: 530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 851.80 = 384.21 : x
  2. Step 2: Convert to fraction form
    617.49/851.80 = 384.21/x
  3. Step 3: Cross multiply
    617.49x = 851.80 × 384.21
  4. Step 4: Simplify right side
    617.49x = 327,270.08
  5. Step 5: Solve for x
    x = 327,270.08/617.49
  6. Step 6: Final answer
    x = 530.00

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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.