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Finding the Fourth Proportional to 476.65, 659.00 and 330.38

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Solution

The fourth proportional to 476.65, 659.00 and 330.38 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 659.00 = 330.38 : x
  2. Step 2: Convert to fraction form
    476.65/659.00 = 330.38/x
  3. Step 3: Cross multiply
    476.65x = 659.00 × 330.38
  4. Step 4: Simplify right side
    476.65x = 217,720.42
  5. Step 5: Solve for x
    x = 217,720.42/476.65
  6. Step 6: Final answer
    x = 456.77

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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.