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Finding the Fourth Proportional to 709.02, 1,063.26 and 319.14

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Solution

The fourth proportional to 709.02, 1,063.26 and 319.14 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.02 : 1,063.26 = 319.14 : x
  2. Step 2: Convert to fraction form
    709.02/1,063.26 = 319.14/x
  3. Step 3: Cross multiply
    709.02x = 1,063.26 × 319.14
  4. Step 4: Simplify right side
    709.02x = 339,328.80
  5. Step 5: Solve for x
    x = 339,328.80/709.02
  6. Step 6: Final answer
    x = 478.59

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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.