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Finding the Fourth Proportional to 407.18, 611.14 and 385.81

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Solution

The fourth proportional to 407.18, 611.14 and 385.81 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 611.14 = 385.81 : x
  2. Step 2: Convert to fraction form
    407.18/611.14 = 385.81/x
  3. Step 3: Cross multiply
    407.18x = 611.14 × 385.81
  4. Step 4: Simplify right side
    407.18x = 235,783.92
  5. Step 5: Solve for x
    x = 235,783.92/407.18
  6. Step 6: Final answer
    x = 579.07

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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.