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Finding the Fourth Proportional to 458.28, 684.54 and 385.38

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Solution

The fourth proportional to 458.28, 684.54 and 385.38 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 684.54 = 385.38 : x
  2. Step 2: Convert to fraction form
    458.28/684.54 = 385.38/x
  3. Step 3: Cross multiply
    458.28x = 684.54 × 385.38
  4. Step 4: Simplify right side
    458.28x = 263,808.03
  5. Step 5: Solve for x
    x = 263,808.03/458.28
  6. Step 6: Final answer
    x = 575.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.