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Finding the Fourth Proportional to 473.53, 709.24 and 290.37

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Solution

The fourth proportional to 473.53, 709.24 and 290.37 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.53 : 709.24 = 290.37 : x
  2. Step 2: Convert to fraction form
    473.53/709.24 = 290.37/x
  3. Step 3: Cross multiply
    473.53x = 709.24 × 290.37
  4. Step 4: Simplify right side
    473.53x = 205,942.02
  5. Step 5: Solve for x
    x = 205,942.02/473.53
  6. Step 6: Final answer
    x = 434.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.