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Finding the Fourth Proportional to 470.48, 649.31 and 284.06

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Solution

The fourth proportional to 470.48, 649.31 and 284.06 is: 392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 649.31 = 284.06 : x
  2. Step 2: Convert to fraction form
    470.48/649.31 = 284.06/x
  3. Step 3: Cross multiply
    470.48x = 649.31 × 284.06
  4. Step 4: Simplify right side
    470.48x = 184,443.00
  5. Step 5: Solve for x
    x = 184,443.00/470.48
  6. Step 6: Final answer
    x = 392.03

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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.