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Finding the Fourth Proportional to 462.59, 638.00 and 407.21

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Solution

The fourth proportional to 462.59, 638.00 and 407.21 is: 561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.59 : 638.00 = 407.21 : x
  2. Step 2: Convert to fraction form
    462.59/638.00 = 407.21/x
  3. Step 3: Cross multiply
    462.59x = 638.00 × 407.21
  4. Step 4: Simplify right side
    462.59x = 259,794.75
  5. Step 5: Solve for x
    x = 259,794.75/462.59
  6. Step 6: Final answer
    x = 561.62

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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.