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Finding the Fourth Proportional to 709.73, 1,064.91 and 319.51

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Solution

The fourth proportional to 709.73, 1,064.91 and 319.51 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.73 : 1,064.91 = 319.51 : x
  2. Step 2: Convert to fraction form
    709.73/1,064.91 = 319.51/x
  3. Step 3: Cross multiply
    709.73x = 1,064.91 × 319.51
  4. Step 4: Simplify right side
    709.73x = 340,250.73
  5. Step 5: Solve for x
    x = 340,250.73/709.73
  6. Step 6: Final answer
    x = 479.41

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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.