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Finding the Fourth Proportional to 471.15, 649.94 and 284.54

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Solution

The fourth proportional to 471.15, 649.94 and 284.54 is: 392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 649.94 = 284.54 : x
  2. Step 2: Convert to fraction form
    471.15/649.94 = 284.54/x
  3. Step 3: Cross multiply
    471.15x = 649.94 × 284.54
  4. Step 4: Simplify right side
    471.15x = 184,929.26
  5. Step 5: Solve for x
    x = 184,929.26/471.15
  6. Step 6: Final answer
    x = 392.51

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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.