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Finding the Fourth Proportional to 465.36, 638.34 and 455.76

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Solution

The fourth proportional to 465.36, 638.34 and 455.76 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 638.34 = 455.76 : x
  2. Step 2: Convert to fraction form
    465.36/638.34 = 455.76/x
  3. Step 3: Cross multiply
    465.36x = 638.34 × 455.76
  4. Step 4: Simplify right side
    465.36x = 290,929.84
  5. Step 5: Solve for x
    x = 290,929.84/465.36
  6. Step 6: Final answer
    x = 625.17

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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.