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Finding the Fourth Proportional to 464.58, 636.93 and 456.39

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Solution

The fourth proportional to 464.58, 636.93 and 456.39 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.58 : 636.93 = 456.39 : x
  2. Step 2: Convert to fraction form
    464.58/636.93 = 456.39/x
  3. Step 3: Cross multiply
    464.58x = 636.93 × 456.39
  4. Step 4: Simplify right side
    464.58x = 290,688.48
  5. Step 5: Solve for x
    x = 290,688.48/464.58
  6. Step 6: Final answer
    x = 625.70

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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.