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Finding the Fourth Proportional to 471.96, 651.60 and 405.36

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Solution

The fourth proportional to 471.96, 651.60 and 405.36 is: 559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 651.60 = 405.36 : x
  2. Step 2: Convert to fraction form
    471.96/651.60 = 405.36/x
  3. Step 3: Cross multiply
    471.96x = 651.60 × 405.36
  4. Step 4: Simplify right side
    471.96x = 264,132.58
  5. Step 5: Solve for x
    x = 264,132.58/471.96
  6. Step 6: Final answer
    x = 559.65

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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.