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Finding the Fourth Proportional to 462.45, 635.06 and 388.64

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Solution

The fourth proportional to 462.45, 635.06 and 388.64 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 635.06 = 388.64 : x
  2. Step 2: Convert to fraction form
    462.45/635.06 = 388.64/x
  3. Step 3: Cross multiply
    462.45x = 635.06 × 388.64
  4. Step 4: Simplify right side
    462.45x = 246,809.36
  5. Step 5: Solve for x
    x = 246,809.36/462.45
  6. Step 6: Final answer
    x = 533.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.