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Finding the Fourth Proportional to 469.89, 652.92 and 464.82

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Solution

The fourth proportional to 469.89, 652.92 and 464.82 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 652.92 = 464.82 : x
  2. Step 2: Convert to fraction form
    469.89/652.92 = 464.82/x
  3. Step 3: Cross multiply
    469.89x = 652.92 × 464.82
  4. Step 4: Simplify right side
    469.89x = 303,490.27
  5. Step 5: Solve for x
    x = 303,490.27/469.89
  6. Step 6: Final answer
    x = 645.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.