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Finding the Fourth Proportional to 473.91, 653.70 and 349.30

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Solution

The fourth proportional to 473.91, 653.70 and 349.30 is: 481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 653.70 = 349.30 : x
  2. Step 2: Convert to fraction form
    473.91/653.70 = 349.30/x
  3. Step 3: Cross multiply
    473.91x = 653.70 × 349.30
  4. Step 4: Simplify right side
    473.91x = 228,337.41
  5. Step 5: Solve for x
    x = 228,337.41/473.91
  6. Step 6: Final answer
    x = 481.82

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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.