Home / 1,497.21-2,241.95-767.13

Finding the Fourth Proportional to 1,497.21, 2,241.95 and 767.13

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Solution

The fourth proportional to 1,497.21, 2,241.95 and 767.13 is: 1,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.21 : 2,241.95 = 767.13 : x
  2. Step 2: Convert to fraction form
    1,497.21/2,241.95 = 767.13/x
  3. Step 3: Cross multiply
    1,497.21x = 2,241.95 × 767.13
  4. Step 4: Simplify right side
    1,497.21x = 1,719,863.27
  5. Step 5: Solve for x
    x = 1,719,863.27/1,497.21
  6. Step 6: Final answer
    x = 1,148.71

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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.