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Finding the Fourth Proportional to 475.79, 657.20 and 328.16

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Solution

The fourth proportional to 475.79, 657.20 and 328.16 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.79 : 657.20 = 328.16 : x
  2. Step 2: Convert to fraction form
    475.79/657.20 = 328.16/x
  3. Step 3: Cross multiply
    475.79x = 657.20 × 328.16
  4. Step 4: Simplify right side
    475.79x = 215,661.83
  5. Step 5: Solve for x
    x = 215,661.83/475.79
  6. Step 6: Final answer
    x = 453.28

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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.