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Finding the Fourth Proportional to 408.94, 564.53 and 284.70

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Solution

The fourth proportional to 408.94, 564.53 and 284.70 is: 393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 564.53 = 284.70 : x
  2. Step 2: Convert to fraction form
    408.94/564.53 = 284.70/x
  3. Step 3: Cross multiply
    408.94x = 564.53 × 284.70
  4. Step 4: Simplify right side
    408.94x = 160,721.69
  5. Step 5: Solve for x
    x = 160,721.69/408.94
  6. Step 6: Final answer
    x = 393.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.