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Finding the Fourth Proportional to 617.68, 852.32 and 365.64

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Solution

The fourth proportional to 617.68, 852.32 and 365.64 is: 504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 852.32 = 365.64 : x
  2. Step 2: Convert to fraction form
    617.68/852.32 = 365.64/x
  3. Step 3: Cross multiply
    617.68x = 852.32 × 365.64
  4. Step 4: Simplify right side
    617.68x = 311,642.40
  5. Step 5: Solve for x
    x = 311,642.40/617.68
  6. Step 6: Final answer
    x = 504.54

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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.