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Finding the Fourth Proportional to 705.60, 1,059.33 and 543.42

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Solution

The fourth proportional to 705.60, 1,059.33 and 543.42 is: 815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,059.33 = 543.42 : x
  2. Step 2: Convert to fraction form
    705.60/1,059.33 = 543.42/x
  3. Step 3: Cross multiply
    705.60x = 1,059.33 × 543.42
  4. Step 4: Simplify right side
    705.60x = 575,661.11
  5. Step 5: Solve for x
    x = 575,661.11/705.60
  6. Step 6: Final answer
    x = 815.85

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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.