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Finding the Fourth Proportional to 470.13, 648.68 and 345.90

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Solution

The fourth proportional to 470.13, 648.68 and 345.90 is: 477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.13 : 648.68 = 345.90 : x
  2. Step 2: Convert to fraction form
    470.13/648.68 = 345.90/x
  3. Step 3: Cross multiply
    470.13x = 648.68 × 345.90
  4. Step 4: Simplify right side
    470.13x = 224,378.41
  5. Step 5: Solve for x
    x = 224,378.41/470.13
  6. Step 6: Final answer
    x = 477.27

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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.