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Finding the Fourth Proportional to 705.26, 1,056.44 and 574.68

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Solution

The fourth proportional to 705.26, 1,056.44 and 574.68 is: 860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.26 : 1,056.44 = 574.68 : x
  2. Step 2: Convert to fraction form
    705.26/1,056.44 = 574.68/x
  3. Step 3: Cross multiply
    705.26x = 1,056.44 × 574.68
  4. Step 4: Simplify right side
    705.26x = 607,114.94
  5. Step 5: Solve for x
    x = 607,114.94/705.26
  6. Step 6: Final answer
    x = 860.84

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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.