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Finding the Fourth Proportional to 465.63, 634.37 and 456.15

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Solution

The fourth proportional to 465.63, 634.37 and 456.15 is: 621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 634.37 = 456.15 : x
  2. Step 2: Convert to fraction form
    465.63/634.37 = 456.15/x
  3. Step 3: Cross multiply
    465.63x = 634.37 × 456.15
  4. Step 4: Simplify right side
    465.63x = 289,365.59
  5. Step 5: Solve for x
    x = 289,365.59/465.63
  6. Step 6: Final answer
    x = 621.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.