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Finding the Fourth Proportional to 462.63, 638.90 and 345.99

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Solution

The fourth proportional to 462.63, 638.90 and 345.99 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.63 : 638.90 = 345.99 : x
  2. Step 2: Convert to fraction form
    462.63/638.90 = 345.99/x
  3. Step 3: Cross multiply
    462.63x = 638.90 × 345.99
  4. Step 4: Simplify right side
    462.63x = 221,053.01
  5. Step 5: Solve for x
    x = 221,053.01/462.63
  6. Step 6: Final answer
    x = 477.82

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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.