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Finding the Fourth Proportional to 461.98, 637.62 and 287.32

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Solution

The fourth proportional to 461.98, 637.62 and 287.32 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 637.62 = 287.32 : x
  2. Step 2: Convert to fraction form
    461.98/637.62 = 287.32/x
  3. Step 3: Cross multiply
    461.98x = 637.62 × 287.32
  4. Step 4: Simplify right side
    461.98x = 183,200.98
  5. Step 5: Solve for x
    x = 183,200.98/461.98
  6. Step 6: Final answer
    x = 396.56

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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.