Home / 1,043.79-1,566.31-496.02

Finding the Fourth Proportional to 1,043.79, 1,566.31 and 496.02

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Solution

The fourth proportional to 1,043.79, 1,566.31 and 496.02 is: 744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.79 : 1,566.31 = 496.02 : x
  2. Step 2: Convert to fraction form
    1,043.79/1,566.31 = 496.02/x
  3. Step 3: Cross multiply
    1,043.79x = 1,566.31 × 496.02
  4. Step 4: Simplify right side
    1,043.79x = 776,921.09
  5. Step 5: Solve for x
    x = 776,921.09/1,043.79
  6. Step 6: Final answer
    x = 744.33

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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.