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Finding the Fourth Proportional to 471.48, 649.98 and 354.84

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Solution

The fourth proportional to 471.48, 649.98 and 354.84 is: 489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 649.98 = 354.84 : x
  2. Step 2: Convert to fraction form
    471.48/649.98 = 354.84/x
  3. Step 3: Cross multiply
    471.48x = 649.98 × 354.84
  4. Step 4: Simplify right side
    471.48x = 230,638.90
  5. Step 5: Solve for x
    x = 230,638.90/471.48
  6. Step 6: Final answer
    x = 489.18

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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.