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Finding the Fourth Proportional to 473.77, 653.52 and 349.39

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Solution

The fourth proportional to 473.77, 653.52 and 349.39 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.77 : 653.52 = 349.39 : x
  2. Step 2: Convert to fraction form
    473.77/653.52 = 349.39/x
  3. Step 3: Cross multiply
    473.77x = 653.52 × 349.39
  4. Step 4: Simplify right side
    473.77x = 228,333.35
  5. Step 5: Solve for x
    x = 228,333.35/473.77
  6. Step 6: Final answer
    x = 481.95

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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.