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Finding the Fourth Proportional to 706.74, 1,059.96 and 570.60

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Solution

The fourth proportional to 706.74, 1,059.96 and 570.60 is: 855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 1,059.96 = 570.60 : x
  2. Step 2: Convert to fraction form
    706.74/1,059.96 = 570.60/x
  3. Step 3: Cross multiply
    706.74x = 1,059.96 × 570.60
  4. Step 4: Simplify right side
    706.74x = 604,813.18
  5. Step 5: Solve for x
    x = 604,813.18/706.74
  6. Step 6: Final answer
    x = 855.78

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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.