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Finding the Fourth Proportional to 465.48, 636.66 and 457.92

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Solution

The fourth proportional to 465.48, 636.66 and 457.92 is: 626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.48 : 636.66 = 457.92 : x
  2. Step 2: Convert to fraction form
    465.48/636.66 = 457.92/x
  3. Step 3: Cross multiply
    465.48x = 636.66 × 457.92
  4. Step 4: Simplify right side
    465.48x = 291,539.35
  5. Step 5: Solve for x
    x = 291,539.35/465.48
  6. Step 6: Final answer
    x = 626.32

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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.