Home / 1,173.52-1,619.16-780.24

Finding the Fourth Proportional to 1,173.52, 1,619.16 and 780.24

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Solution

The fourth proportional to 1,173.52, 1,619.16 and 780.24 is: 1,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.52 : 1,619.16 = 780.24 : x
  2. Step 2: Convert to fraction form
    1,173.52/1,619.16 = 780.24/x
  3. Step 3: Cross multiply
    1,173.52x = 1,619.16 × 780.24
  4. Step 4: Simplify right side
    1,173.52x = 1,263,333.40
  5. Step 5: Solve for x
    x = 1,263,333.40/1,173.52
  6. Step 6: Final answer
    x = 1,076.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.