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Finding the Fourth Proportional to 473.76, 657.12 and 453.60

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Solution

The fourth proportional to 473.76, 657.12 and 453.60 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 657.12 = 453.60 : x
  2. Step 2: Convert to fraction form
    473.76/657.12 = 453.60/x
  3. Step 3: Cross multiply
    473.76x = 657.12 × 453.60
  4. Step 4: Simplify right side
    473.76x = 298,069.63
  5. Step 5: Solve for x
    x = 298,069.63/473.76
  6. Step 6: Final answer
    x = 629.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.