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Finding the Fourth Proportional to 468.24, 645.72 and 415.62

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Solution

The fourth proportional to 468.24, 645.72 and 415.62 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 645.72 = 415.62 : x
  2. Step 2: Convert to fraction form
    468.24/645.72 = 415.62/x
  3. Step 3: Cross multiply
    468.24x = 645.72 × 415.62
  4. Step 4: Simplify right side
    468.24x = 268,374.15
  5. Step 5: Solve for x
    x = 268,374.15/468.24
  6. Step 6: Final answer
    x = 573.16

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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.