Home / 1,538.24-2,308.74-716.98

Finding the Fourth Proportional to 1,538.24, 2,308.74 and 716.98

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Solution

The fourth proportional to 1,538.24, 2,308.74 and 716.98 is: 1,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.24 : 2,308.74 = 716.98 : x
  2. Step 2: Convert to fraction form
    1,538.24/2,308.74 = 716.98/x
  3. Step 3: Cross multiply
    1,538.24x = 2,308.74 × 716.98
  4. Step 4: Simplify right side
    1,538.24x = 1,655,320.41
  5. Step 5: Solve for x
    x = 1,655,320.41/1,538.24
  6. Step 6: Final answer
    x = 1,076.11

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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.