Home / 1,160.50-1,739.54-543.69

Finding the Fourth Proportional to 1,160.50, 1,739.54 and 543.69

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Solution

The fourth proportional to 1,160.50, 1,739.54 and 543.69 is: 814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.50 : 1,739.54 = 543.69 : x
  2. Step 2: Convert to fraction form
    1,160.50/1,739.54 = 543.69/x
  3. Step 3: Cross multiply
    1,160.50x = 1,739.54 × 543.69
  4. Step 4: Simplify right side
    1,160.50x = 945,770.50
  5. Step 5: Solve for x
    x = 945,770.50/1,160.50
  6. Step 6: Final answer
    x = 814.97

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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.