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Finding the Fourth Proportional to 473.81, 656.39 and 462.47

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Solution

The fourth proportional to 473.81, 656.39 and 462.47 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.81 : 656.39 = 462.47 : x
  2. Step 2: Convert to fraction form
    473.81/656.39 = 462.47/x
  3. Step 3: Cross multiply
    473.81x = 656.39 × 462.47
  4. Step 4: Simplify right side
    473.81x = 303,559.04
  5. Step 5: Solve for x
    x = 303,559.04/473.81
  6. Step 6: Final answer
    x = 640.68

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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.