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Finding the Fourth Proportional to 617.82, 852.45 and 369.18

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Solution

The fourth proportional to 617.82, 852.45 and 369.18 is: 509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 852.45 = 369.18 : x
  2. Step 2: Convert to fraction form
    617.82/852.45 = 369.18/x
  3. Step 3: Cross multiply
    617.82x = 852.45 × 369.18
  4. Step 4: Simplify right side
    617.82x = 314,707.49
  5. Step 5: Solve for x
    x = 314,707.49/617.82
  6. Step 6: Final answer
    x = 509.38

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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.