Home / 1,159.80-1,739.61-543.35

Finding the Fourth Proportional to 1,159.80, 1,739.61 and 543.35

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Solution

The fourth proportional to 1,159.80, 1,739.61 and 543.35 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.80 : 1,739.61 = 543.35 : x
  2. Step 2: Convert to fraction form
    1,159.80/1,739.61 = 543.35/x
  3. Step 3: Cross multiply
    1,159.80x = 1,739.61 × 543.35
  4. Step 4: Simplify right side
    1,159.80x = 945,208.40
  5. Step 5: Solve for x
    x = 945,208.40/1,159.80
  6. Step 6: Final answer
    x = 814.98

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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.