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Finding the Fourth Proportional to 464.12, 691.92 and 427.58

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Solution

The fourth proportional to 464.12, 691.92 and 427.58 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 691.92 = 427.58 : x
  2. Step 2: Convert to fraction form
    464.12/691.92 = 427.58/x
  3. Step 3: Cross multiply
    464.12x = 691.92 × 427.58
  4. Step 4: Simplify right side
    464.12x = 295,851.15
  5. Step 5: Solve for x
    x = 295,851.15/464.12
  6. Step 6: Final answer
    x = 637.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.