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Finding the Fourth Proportional to 473.81, 653.68 and 349.76

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Solution

The fourth proportional to 473.81, 653.68 and 349.76 is: 482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.81 : 653.68 = 349.76 : x
  2. Step 2: Convert to fraction form
    473.81/653.68 = 349.76/x
  3. Step 3: Cross multiply
    473.81x = 653.68 × 349.76
  4. Step 4: Simplify right side
    473.81x = 228,631.88
  5. Step 5: Solve for x
    x = 228,631.88/473.81
  6. Step 6: Final answer
    x = 482.54

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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.