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Finding the Fourth Proportional to 706.84, 1,057.96 and 639.48

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Solution

The fourth proportional to 706.84, 1,057.96 and 639.48 is: 957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.84 : 1,057.96 = 639.48 : x
  2. Step 2: Convert to fraction form
    706.84/1,057.96 = 639.48/x
  3. Step 3: Cross multiply
    706.84x = 1,057.96 × 639.48
  4. Step 4: Simplify right side
    706.84x = 676,544.26
  5. Step 5: Solve for x
    x = 676,544.26/706.84
  6. Step 6: Final answer
    x = 957.14

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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.