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Finding the Fourth Proportional to 470.29, 649.03 and 283.86

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Solution

The fourth proportional to 470.29, 649.03 and 283.86 is: 391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.29 : 649.03 = 283.86 : x
  2. Step 2: Convert to fraction form
    470.29/649.03 = 283.86/x
  3. Step 3: Cross multiply
    470.29x = 649.03 × 283.86
  4. Step 4: Simplify right side
    470.29x = 184,233.66
  5. Step 5: Solve for x
    x = 184,233.66/470.29
  6. Step 6: Final answer
    x = 391.74

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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.