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Finding the Fourth Proportional to 709.45, 1,064.43 and 380.35

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Solution

The fourth proportional to 709.45, 1,064.43 and 380.35 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.45 : 1,064.43 = 380.35 : x
  2. Step 2: Convert to fraction form
    709.45/1,064.43 = 380.35/x
  3. Step 3: Cross multiply
    709.45x = 1,064.43 × 380.35
  4. Step 4: Simplify right side
    709.45x = 404,855.95
  5. Step 5: Solve for x
    x = 404,855.95/709.45
  6. Step 6: Final answer
    x = 570.66

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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.