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Finding the Fourth Proportional to 470.86, 649.82 and 284.36

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Solution

The fourth proportional to 470.86, 649.82 and 284.36 is: 392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 649.82 = 284.36 : x
  2. Step 2: Convert to fraction form
    470.86/649.82 = 284.36/x
  3. Step 3: Cross multiply
    470.86x = 649.82 × 284.36
  4. Step 4: Simplify right side
    470.86x = 184,783.93
  5. Step 5: Solve for x
    x = 184,783.93/470.86
  6. Step 6: Final answer
    x = 392.44

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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.