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Finding the Fourth Proportional to 613.41, 920.36 and 288.55

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Solution

The fourth proportional to 613.41, 920.36 and 288.55 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 920.36 = 288.55 : x
  2. Step 2: Convert to fraction form
    613.41/920.36 = 288.55/x
  3. Step 3: Cross multiply
    613.41x = 920.36 × 288.55
  4. Step 4: Simplify right side
    613.41x = 265,569.88
  5. Step 5: Solve for x
    x = 265,569.88/613.41
  6. Step 6: Final answer
    x = 432.94

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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.