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Finding the Fourth Proportional to 473.71, 709.84 and 319.59

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Solution

The fourth proportional to 473.71, 709.84 and 319.59 is: 478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.71 : 709.84 = 319.59 : x
  2. Step 2: Convert to fraction form
    473.71/709.84 = 319.59/x
  3. Step 3: Cross multiply
    473.71x = 709.84 × 319.59
  4. Step 4: Simplify right side
    473.71x = 226,857.77
  5. Step 5: Solve for x
    x = 226,857.77/473.71
  6. Step 6: Final answer
    x = 478.90

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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.