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Finding the Fourth Proportional to 472.53, 709.39 and 319.14

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Solution

The fourth proportional to 472.53, 709.39 and 319.14 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 709.39 = 319.14 : x
  2. Step 2: Convert to fraction form
    472.53/709.39 = 319.14/x
  3. Step 3: Cross multiply
    472.53x = 709.39 × 319.14
  4. Step 4: Simplify right side
    472.53x = 226,389.58
  5. Step 5: Solve for x
    x = 226,389.58/472.53
  6. Step 6: Final answer
    x = 479.10

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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.