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Finding the Fourth Proportional to 613.62, 920.84 and 325.26

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Solution

The fourth proportional to 613.62, 920.84 and 325.26 is: 488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.62 : 920.84 = 325.26 : x
  2. Step 2: Convert to fraction form
    613.62/920.84 = 325.26/x
  3. Step 3: Cross multiply
    613.62x = 920.84 × 325.26
  4. Step 4: Simplify right side
    613.62x = 299,510.79
  5. Step 5: Solve for x
    x = 299,510.79/613.62
  6. Step 6: Final answer
    x = 488.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.