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Finding the Fourth Proportional to 706.66, 1,059.99 and 690.46

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Solution

The fourth proportional to 706.66, 1,059.99 and 690.46 is: 1,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.66 : 1,059.99 = 690.46 : x
  2. Step 2: Convert to fraction form
    706.66/1,059.99 = 690.46/x
  3. Step 3: Cross multiply
    706.66x = 1,059.99 × 690.46
  4. Step 4: Simplify right side
    706.66x = 731,880.70
  5. Step 5: Solve for x
    x = 731,880.70/706.66
  6. Step 6: Final answer
    x = 1,035.69

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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.