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Finding the Fourth Proportional to 553.80, 764.12 and 465.62

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Solution

The fourth proportional to 553.80, 764.12 and 465.62 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.80 : 764.12 = 465.62 : x
  2. Step 2: Convert to fraction form
    553.80/764.12 = 465.62/x
  3. Step 3: Cross multiply
    553.80x = 764.12 × 465.62
  4. Step 4: Simplify right side
    553.80x = 355,783.41
  5. Step 5: Solve for x
    x = 355,783.41/553.80
  6. Step 6: Final answer
    x = 642.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.