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Finding the Fourth Proportional to 471.53, 648.81 and 459.46

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Solution

The fourth proportional to 471.53, 648.81 and 459.46 is: 632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 648.81 = 459.46 : x
  2. Step 2: Convert to fraction form
    471.53/648.81 = 459.46/x
  3. Step 3: Cross multiply
    471.53x = 648.81 × 459.46
  4. Step 4: Simplify right side
    471.53x = 298,102.14
  5. Step 5: Solve for x
    x = 298,102.14/471.53
  6. Step 6: Final answer
    x = 632.20

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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.