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Finding the Fourth Proportional to 473.75, 709.69 and 310.94

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Solution

The fourth proportional to 473.75, 709.69 and 310.94 is: 465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.75 : 709.69 = 310.94 : x
  2. Step 2: Convert to fraction form
    473.75/709.69 = 310.94/x
  3. Step 3: Cross multiply
    473.75x = 709.69 × 310.94
  4. Step 4: Simplify right side
    473.75x = 220,667.46
  5. Step 5: Solve for x
    x = 220,667.46/473.75
  6. Step 6: Final answer
    x = 465.79

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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.