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Finding the Fourth Proportional to 617.50, 852.15 and 355.51

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Solution

The fourth proportional to 617.50, 852.15 and 355.51 is: 490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 852.15 = 355.51 : x
  2. Step 2: Convert to fraction form
    617.50/852.15 = 355.51/x
  3. Step 3: Cross multiply
    617.50x = 852.15 × 355.51
  4. Step 4: Simplify right side
    617.50x = 302,947.85
  5. Step 5: Solve for x
    x = 302,947.85/617.50
  6. Step 6: Final answer
    x = 490.60

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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.