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Finding the Fourth Proportional to 461.52, 635.76 and 388.08

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Solution

The fourth proportional to 461.52, 635.76 and 388.08 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 635.76 = 388.08 : x
  2. Step 2: Convert to fraction form
    461.52/635.76 = 388.08/x
  3. Step 3: Cross multiply
    461.52x = 635.76 × 388.08
  4. Step 4: Simplify right side
    461.52x = 246,725.74
  5. Step 5: Solve for x
    x = 246,725.74/461.52
  6. Step 6: Final answer
    x = 534.59

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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.