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Finding the Fourth Proportional to 473.11, 652.70 and 349.06

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Solution

The fourth proportional to 473.11, 652.70 and 349.06 is: 481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.11 : 652.70 = 349.06 : x
  2. Step 2: Convert to fraction form
    473.11/652.70 = 349.06/x
  3. Step 3: Cross multiply
    473.11x = 652.70 × 349.06
  4. Step 4: Simplify right side
    473.11x = 227,833.81
  5. Step 5: Solve for x
    x = 227,833.81/473.11
  6. Step 6: Final answer
    x = 481.57

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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.