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Finding the Fourth Proportional to 706.03, 1,057.32 and 641.43

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Solution

The fourth proportional to 706.03, 1,057.32 and 641.43 is: 960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.03 : 1,057.32 = 641.43 : x
  2. Step 2: Convert to fraction form
    706.03/1,057.32 = 641.43/x
  3. Step 3: Cross multiply
    706.03x = 1,057.32 × 641.43
  4. Step 4: Simplify right side
    706.03x = 678,196.77
  5. Step 5: Solve for x
    x = 678,196.77/706.03
  6. Step 6: Final answer
    x = 960.58

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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.