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Finding the Fourth Proportional to 706.77, 1,059.33 and 459.63

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Solution

The fourth proportional to 706.77, 1,059.33 and 459.63 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.77 : 1,059.33 = 459.63 : x
  2. Step 2: Convert to fraction form
    706.77/1,059.33 = 459.63/x
  3. Step 3: Cross multiply
    706.77x = 1,059.33 × 459.63
  4. Step 4: Simplify right side
    706.77x = 486,899.85
  5. Step 5: Solve for x
    x = 486,899.85/706.77
  6. Step 6: Final answer
    x = 688.91

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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.