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Finding the Fourth Proportional to 473.37, 655.78 and 462.03

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Solution

The fourth proportional to 473.37, 655.78 and 462.03 is: 640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.37 : 655.78 = 462.03 : x
  2. Step 2: Convert to fraction form
    473.37/655.78 = 462.03/x
  3. Step 3: Cross multiply
    473.37x = 655.78 × 462.03
  4. Step 4: Simplify right side
    473.37x = 302,991.48
  5. Step 5: Solve for x
    x = 302,991.48/473.37
  6. Step 6: Final answer
    x = 640.07

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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.