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Finding the Fourth Proportional to 706.77, 1,059.62 and 321.75

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Solution

The fourth proportional to 706.77, 1,059.62 and 321.75 is: 482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.77 : 1,059.62 = 321.75 : x
  2. Step 2: Convert to fraction form
    706.77/1,059.62 = 321.75/x
  3. Step 3: Cross multiply
    706.77x = 1,059.62 × 321.75
  4. Step 4: Simplify right side
    706.77x = 340,931.13
  5. Step 5: Solve for x
    x = 340,931.13/706.77
  6. Step 6: Final answer
    x = 482.38

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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.