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Finding the Fourth Proportional to 407.68, 611.52 and 381.76

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Solution

The fourth proportional to 407.68, 611.52 and 381.76 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 611.52 = 381.76 : x
  2. Step 2: Convert to fraction form
    407.68/611.52 = 381.76/x
  3. Step 3: Cross multiply
    407.68x = 611.52 × 381.76
  4. Step 4: Simplify right side
    407.68x = 233,453.88
  5. Step 5: Solve for x
    x = 233,453.88/407.68
  6. Step 6: Final answer
    x = 572.64

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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.