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Finding the Fourth Proportional to 709.46, 1,064.21 and 319.04

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Solution

The fourth proportional to 709.46, 1,064.21 and 319.04 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 1,064.21 = 319.04 : x
  2. Step 2: Convert to fraction form
    709.46/1,064.21 = 319.04/x
  3. Step 3: Cross multiply
    709.46x = 1,064.21 × 319.04
  4. Step 4: Simplify right side
    709.46x = 339,518.64
  5. Step 5: Solve for x
    x = 339,518.64/709.46
  6. Step 6: Final answer
    x = 478.56

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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.