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Finding the Fourth Proportional to 464.62, 636.42 and 458.70

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Solution

The fourth proportional to 464.62, 636.42 and 458.70 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 636.42 = 458.70 : x
  2. Step 2: Convert to fraction form
    464.62/636.42 = 458.70/x
  3. Step 3: Cross multiply
    464.62x = 636.42 × 458.70
  4. Step 4: Simplify right side
    464.62x = 291,925.19
  5. Step 5: Solve for x
    x = 291,925.19/464.62
  6. Step 6: Final answer
    x = 628.31

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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.