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Finding the Fourth Proportional to 473.69, 656.22 and 462.35

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Solution

The fourth proportional to 473.69, 656.22 and 462.35 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 656.22 = 462.35 : x
  2. Step 2: Convert to fraction form
    473.69/656.22 = 462.35/x
  3. Step 3: Cross multiply
    473.69x = 656.22 × 462.35
  4. Step 4: Simplify right side
    473.69x = 303,397.72
  5. Step 5: Solve for x
    x = 303,397.72/473.69
  6. Step 6: Final answer
    x = 640.51

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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.