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Finding the Fourth Proportional to 471.02, 648.42 and 405.14

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Solution

The fourth proportional to 471.02, 648.42 and 405.14 is: 557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.02 : 648.42 = 405.14 : x
  2. Step 2: Convert to fraction form
    471.02/648.42 = 405.14/x
  3. Step 3: Cross multiply
    471.02x = 648.42 × 405.14
  4. Step 4: Simplify right side
    471.02x = 262,700.88
  5. Step 5: Solve for x
    x = 262,700.88/471.02
  6. Step 6: Final answer
    x = 557.73

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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.