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Finding the Fourth Proportional to 463.35, 638.51 and 345.45

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Solution

The fourth proportional to 463.35, 638.51 and 345.45 is: 476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.35 : 638.51 = 345.45 : x
  2. Step 2: Convert to fraction form
    463.35/638.51 = 345.45/x
  3. Step 3: Cross multiply
    463.35x = 638.51 × 345.45
  4. Step 4: Simplify right side
    463.35x = 220,573.28
  5. Step 5: Solve for x
    x = 220,573.28/463.35
  6. Step 6: Final answer
    x = 476.04

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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.