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Finding the Fourth Proportional to 706.06, 1,056.96 and 380.44

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Solution

The fourth proportional to 706.06, 1,056.96 and 380.44 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 1,056.96 = 380.44 : x
  2. Step 2: Convert to fraction form
    706.06/1,056.96 = 380.44/x
  3. Step 3: Cross multiply
    706.06x = 1,056.96 × 380.44
  4. Step 4: Simplify right side
    706.06x = 402,107.22
  5. Step 5: Solve for x
    x = 402,107.22/706.06
  6. Step 6: Final answer
    x = 569.51

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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.