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Finding the Fourth Proportional to 613.68, 920.07 and 288.78

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Solution

The fourth proportional to 613.68, 920.07 and 288.78 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 920.07 = 288.78 : x
  2. Step 2: Convert to fraction form
    613.68/920.07 = 288.78/x
  3. Step 3: Cross multiply
    613.68x = 920.07 × 288.78
  4. Step 4: Simplify right side
    613.68x = 265,697.81
  5. Step 5: Solve for x
    x = 265,697.81/613.68
  6. Step 6: Final answer
    x = 432.96

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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.