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Finding the Fourth Proportional to 476.28, 715.50 and 332.64

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Solution

The fourth proportional to 476.28, 715.50 and 332.64 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 715.50 = 332.64 : x
  2. Step 2: Convert to fraction form
    476.28/715.50 = 332.64/x
  3. Step 3: Cross multiply
    476.28x = 715.50 × 332.64
  4. Step 4: Simplify right side
    476.28x = 238,003.92
  5. Step 5: Solve for x
    x = 238,003.92/476.28
  6. Step 6: Final answer
    x = 499.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.