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Finding the Fourth Proportional to 617.80, 852.40 and 355.96

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Solution

The fourth proportional to 617.80, 852.40 and 355.96 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 852.40 = 355.96 : x
  2. Step 2: Convert to fraction form
    617.80/852.40 = 355.96/x
  3. Step 3: Cross multiply
    617.80x = 852.40 × 355.96
  4. Step 4: Simplify right side
    617.80x = 303,420.30
  5. Step 5: Solve for x
    x = 303,420.30/617.80
  6. Step 6: Final answer
    x = 491.13

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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.