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Finding the Fourth Proportional to 499.15, 687.79 and 464.55

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Solution

The fourth proportional to 499.15, 687.79 and 464.55 is: 640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.15 : 687.79 = 464.55 : x
  2. Step 2: Convert to fraction form
    499.15/687.79 = 464.55/x
  3. Step 3: Cross multiply
    499.15x = 687.79 × 464.55
  4. Step 4: Simplify right side
    499.15x = 319,512.84
  5. Step 5: Solve for x
    x = 319,512.84/499.15
  6. Step 6: Final answer
    x = 640.11

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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.