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Finding the Fourth Proportional to 706.66, 1,057.83 and 523.60

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Solution

The fourth proportional to 706.66, 1,057.83 and 523.60 is: 783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.66 : 1,057.83 = 523.60 : x
  2. Step 2: Convert to fraction form
    706.66/1,057.83 = 523.60/x
  3. Step 3: Cross multiply
    706.66x = 1,057.83 × 523.60
  4. Step 4: Simplify right side
    706.66x = 553,879.79
  5. Step 5: Solve for x
    x = 553,879.79/706.66
  6. Step 6: Final answer
    x = 783.80

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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.