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Finding the Fourth Proportional to 476.65, 708.82 and 462.04

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Solution

The fourth proportional to 476.65, 708.82 and 462.04 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 708.82 = 462.04 : x
  2. Step 2: Convert to fraction form
    476.65/708.82 = 462.04/x
  3. Step 3: Cross multiply
    476.65x = 708.82 × 462.04
  4. Step 4: Simplify right side
    476.65x = 327,500.27
  5. Step 5: Solve for x
    x = 327,500.27/476.65
  6. Step 6: Final answer
    x = 687.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.